subject:(Fuchsian groups Triangle groups)

1. Solheim, Zachery S. Lane. The hyperboloid model of hyperbolic geometry.

Degree: MS, Mathematics, 2012, Eastern Washington University

► "The main goal of this thesis is to introduce and develop the hyperboloid model of Hyperbolic Geometry. In order to do that, some time… (more)

Subjects/Keywords: Geometry; Hyperbolic; Fuchsian groups; Mathematics

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APA (6^th Edition):

Solheim, Z. S. L. (2012). The hyperboloid model of hyperbolic geometry. (Thesis). Eastern Washington University. Retrieved from https://dc.ewu.edu/theses/240

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Solheim, Zachery S Lane. “The hyperboloid model of hyperbolic geometry.” 2012. Thesis, Eastern Washington University. Accessed March 08, 2021. https://dc.ewu.edu/theses/240.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Solheim, Zachery S Lane. “The hyperboloid model of hyperbolic geometry.” 2012. Web. 08 Mar 2021.

Vancouver:

Solheim ZSL. The hyperboloid model of hyperbolic geometry. [Internet] [Thesis]. Eastern Washington University; 2012. [cited 2021 Mar 08]. Available from: https://dc.ewu.edu/theses/240.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Solheim ZSL. The hyperboloid model of hyperbolic geometry. [Thesis]. Eastern Washington University; 2012. Available from: https://dc.ewu.edu/theses/240

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Texas – Austin

2. Macasieb, Melissa Lorena. Derived arithmetic Fuchsian groups of genus two.

Degree: PhD, Mathematics, 2005, University of Texas – Austin

URL: http://hdl.handle.net/2152/2274

► We classify all torsion-free derived arithmetic Fuchsian groups of genus two by commensurability class. In particular, we show that there exist no such groups arising… (more)

Subjects/Keywords: Fuchsian groups

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Macasieb, M. L. (2005). Derived arithmetic Fuchsian groups of genus two. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/2274

Chicago Manual of Style (16^th Edition):

Macasieb, Melissa Lorena. “Derived arithmetic Fuchsian groups of genus two.” 2005. Doctoral Dissertation, University of Texas – Austin. Accessed March 08, 2021. http://hdl.handle.net/2152/2274.

MLA Handbook (7^th Edition):

Macasieb, Melissa Lorena. “Derived arithmetic Fuchsian groups of genus two.” 2005. Web. 08 Mar 2021.

Vancouver:

Macasieb ML. Derived arithmetic Fuchsian groups of genus two. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2005. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/2152/2274.

Council of Science Editors:

Macasieb ML. Derived arithmetic Fuchsian groups of genus two. [Doctoral Dissertation]. University of Texas – Austin; 2005. Available from: http://hdl.handle.net/2152/2274

3. Ackermann, Peter. Arithmetische Fuchssche Gruppen der Signatur (2;-).

Degree: 2005, Technische Universität Dortmund

URL: http://hdl.handle.net/2003/21510

► Arithmetische Fuchssche Gruppen sind Fuchssche Gruppen, die man durch eine gewisse Konstruktion über Quaternionenalgebren über total reellen Zahlkörpern erhält. Wir bestimmen zunächst Schranken an den… (more)

Subjects/Keywords: arithmetic Fuchsian groups; arithmetische Fuchssche Gruppen; Flächengruppen; Fuchsian groups; Fuchssche Gruppen; surface groups; Teichmüllerraum; Teichmüller space; 510

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Ackermann, P. (2005). Arithmetische Fuchssche Gruppen der Signatur (2;-). (Thesis). Technische Universität Dortmund. Retrieved from http://hdl.handle.net/2003/21510

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Ackermann, Peter. “Arithmetische Fuchssche Gruppen der Signatur (2;-).” 2005. Thesis, Technische Universität Dortmund. Accessed March 08, 2021. http://hdl.handle.net/2003/21510.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Ackermann, Peter. “Arithmetische Fuchssche Gruppen der Signatur (2;-).” 2005. Web. 08 Mar 2021.

Vancouver:

Ackermann P. Arithmetische Fuchssche Gruppen der Signatur (2;-). [Internet] [Thesis]. Technische Universität Dortmund; 2005. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/2003/21510.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ackermann P. Arithmetische Fuchssche Gruppen der Signatur (2;-). [Thesis]. Technische Universität Dortmund; 2005. Available from: http://hdl.handle.net/2003/21510

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

4. Bajpai, Jitendra K. On Vector-Valued Automorphic Forms.

Degree: PhD, Department of Mathematical and Statistical Sciences, 2015, University of Alberta

URL: https://era.library.ualberta.ca/files/chh63sv954

► Let \rG be a genus 0 Fuchsian group of the first kind\,, w ∈ 2\Z and ρ : \rG \longrightarrow \mr{GL}_d(\C) be any admissible representation… (more)

Subjects/Keywords: Automorphic Forms, Representation Theory; Fuchsian groups, Triangle groups; Vector-valued automorphic forms

…The class of triangle groups (hyperbolic) is defined as genus-0 Fuchsian groups of… …this thesis G will denote a genus-0 Fuchsian group of first kind as well as a triangle group… …developing the theory of vector-valued automorphic forms (vvaf) of Fuchsian groups. In… …Fuchsian groups of the first kind , then • focus is put on the special class of these called… …triangle groups , and • only with respect to certain type of their representations which is…

1 more image…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Bajpai, J. K. (2015). On Vector-Valued Automorphic Forms. (Doctoral Dissertation). University of Alberta. Retrieved from https://era.library.ualberta.ca/files/chh63sv954

Chicago Manual of Style (16^th Edition):

Bajpai, Jitendra K. “On Vector-Valued Automorphic Forms.” 2015. Doctoral Dissertation, University of Alberta. Accessed March 08, 2021. https://era.library.ualberta.ca/files/chh63sv954.

MLA Handbook (7^th Edition):

Bajpai, Jitendra K. “On Vector-Valued Automorphic Forms.” 2015. Web. 08 Mar 2021.

Vancouver:

Bajpai JK. On Vector-Valued Automorphic Forms. [Internet] [Doctoral dissertation]. University of Alberta; 2015. [cited 2021 Mar 08]. Available from: https://era.library.ualberta.ca/files/chh63sv954.

Council of Science Editors:

Bajpai JK. On Vector-Valued Automorphic Forms. [Doctoral Dissertation]. University of Alberta; 2015. Available from: https://era.library.ualberta.ca/files/chh63sv954

5. Lane Solheim, Zachery S. The hyperboloid model of hyperbolic geometry.

Degree: MS, Mathematics, 2012, Eastern Washington University

URL: https://dc.ewu.edu/theses/16

► "The main goal of this thesis is to introduce and develop the hyperboloid model of Hyperbolic Geometry. In order to do that, some time… (more)

Subjects/Keywords: Geometry; Hyperbolic; Fuchsian groups; Physical Sciences and Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Lane Solheim, Z. S. (2012). The hyperboloid model of hyperbolic geometry. (Thesis). Eastern Washington University. Retrieved from https://dc.ewu.edu/theses/16

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Lane Solheim, Zachery S. “The hyperboloid model of hyperbolic geometry.” 2012. Thesis, Eastern Washington University. Accessed March 08, 2021. https://dc.ewu.edu/theses/16.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Lane Solheim, Zachery S. “The hyperboloid model of hyperbolic geometry.” 2012. Web. 08 Mar 2021.

Vancouver:

Lane Solheim ZS. The hyperboloid model of hyperbolic geometry. [Internet] [Thesis]. Eastern Washington University; 2012. [cited 2021 Mar 08]. Available from: https://dc.ewu.edu/theses/16.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Lane Solheim ZS. The hyperboloid model of hyperbolic geometry. [Thesis]. Eastern Washington University; 2012. Available from: https://dc.ewu.edu/theses/16

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Penn State University

6. Zydney, Adam J. Boundary maps and their natural extensions associated with Fuchsian and Kleinian groups.

Degree: 2018, Penn State University

URL: https://submit-etda.libraries.psu.edu/catalog/15102ajz5041

► Geodesic flows on surfaces of constant negative curvature are a rich source of examples in ergodic theory, and geodesic flow on the modular surface in… (more)

▼ Geodesic flows on surfaces of constant negative curvature are a rich source of examples in ergodic theory, and geodesic flow on the modular surface in particular has deep connections to real continued fractions from number theory. This thesis deals with two extensions of this setting: either replacing the modular group PSL(2,Z) with a cocompact torsion-free Fuchsian group, or working with three-dimensional hyperbolic space and relating the boundary maps to continued fractions of complex numbers. The Fuchsian results are joint with Svetlana Katok and build on results of Katok and Ugarcovici, who studied a family of maps generalizing the Bowen-Series boundary map. When the parameters satisfy the short cycle property, i.e., the forward orbits at each discontinuity point coincide after one step, the natural extension map has a global attractor with finite rectangular structure. In this thesis, we generalize several results of Adler and Flatto, describing a conjugacy between the geometric and arithmetic maps and showing that the attractor parameterizes an associated arithmetic cross-section. This allows us to represent the geodesic flow as a special flow over a symbolic system. In cases where the cycle ends are discontinuity points, the resulting symbolic system is sofic. In the final chapter, we consider three-dimensional real hyperbolic space, in which the boundary is the Reimann sphere (C with a point at infinity) and the boundary maps use generators of Kleinian groups. Here the endpoints of geodesics can be described by complex continued fractions, which have been studied from the number theoretic perspective by Doug Hensley, S. G. Dani, and Arnaldo Nogueira, among others. In this thesis, a new "partition property" is described, substituting for the cycle property seen in the modular and Fuchsian literature. We state some results that apply to a wide range of boundary maps satisfying this partition property, and we discuss several specific algorithms in more detail. In many cases, the attractor of the natural extension map can be expressed as a finite union of products in C ⨯ C; this "finite product structure" is explicitly demonstrated for certain algorithms. Advisors/Committee Members: Svetlana Katok, Dissertation Advisor/Co-Advisor, Svetlana Katok, Committee Chair/Co-Chair, Federico Juan Rodriguez Hertz, Committee Member, Antole Katok, Committee Member, Kyusun Choi, Outside Member.

Subjects/Keywords: geodesic flow; symbolic dynamics; continued fractions; complex numbers; reduction theory; Fuchsian groups

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APA (6^th Edition):

Zydney, A. J. (2018). Boundary maps and their natural extensions associated with Fuchsian and Kleinian groups. (Thesis). Penn State University. Retrieved from https://submit-etda.libraries.psu.edu/catalog/15102ajz5041

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Zydney, Adam J. “Boundary maps and their natural extensions associated with Fuchsian and Kleinian groups.” 2018. Thesis, Penn State University. Accessed March 08, 2021. https://submit-etda.libraries.psu.edu/catalog/15102ajz5041.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Zydney, Adam J. “Boundary maps and their natural extensions associated with Fuchsian and Kleinian groups.” 2018. Web. 08 Mar 2021.

Vancouver:

Zydney AJ. Boundary maps and their natural extensions associated with Fuchsian and Kleinian groups. [Internet] [Thesis]. Penn State University; 2018. [cited 2021 Mar 08]. Available from: https://submit-etda.libraries.psu.edu/catalog/15102ajz5041.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Zydney AJ. Boundary maps and their natural extensions associated with Fuchsian and Kleinian groups. [Thesis]. Penn State University; 2018. Available from: https://submit-etda.libraries.psu.edu/catalog/15102ajz5041

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

7. Larsson, David. Algorithmic Construction of Fundamental Polygons for Certain Fuchsian Groups.

Degree: Faculty of Science & Engineering, 2015, Linköping UniversityLinköping University

URL: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-119916

► The work of mathematical giants, such as Lobachevsky, Gauss, Riemann, Klein and Poincaré, to name a few, lies at the foundation of the study… (more)

Subjects/Keywords: Compact Riemann surfaces and uniformization; Fuchsian groups and automorphic functions; Hyperbolic geometry; Topological groups; Permutation groups; Computational methods; Covering spaces; branched coverings; Generators; relations; and presentations

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APA (6^th Edition):

Larsson, D. (2015). Algorithmic Construction of Fundamental Polygons for Certain Fuchsian Groups. (Thesis). Linköping UniversityLinköping University. Retrieved from http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-119916

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Larsson, David. “Algorithmic Construction of Fundamental Polygons for Certain Fuchsian Groups.” 2015. Thesis, Linköping UniversityLinköping University. Accessed March 08, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-119916.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Larsson, David. “Algorithmic Construction of Fundamental Polygons for Certain Fuchsian Groups.” 2015. Web. 08 Mar 2021.

Vancouver:

Larsson D. Algorithmic Construction of Fundamental Polygons for Certain Fuchsian Groups. [Internet] [Thesis]. Linköping UniversityLinköping University; 2015. [cited 2021 Mar 08]. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-119916.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Larsson D. Algorithmic Construction of Fundamental Polygons for Certain Fuchsian Groups. [Thesis]. Linköping UniversityLinköping University; 2015. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-119916

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

8. Ackermann, Peter. Arithmetische Fuchssche Gruppen der Signatur (2;-).

Degree: 2005, Technische Universität Dortmund

URL: http://dx.doi.org/10.17877/DE290R-8050

► Arithmetische Fuchssche Gruppen sind Fuchssche Gruppen, die man durch eine gewisse Konstruktion über Quaternionenalgebren über total reellen Zahlkörpern erhält. Wir bestimmen zunächst Schranken an den… (more)

Subjects/Keywords: Fuchssche Gruppen; arithmetische Fuchssche Gruppen; Flächengruppen; Teichmüllerraum; Fuchsian groups; arithmetic Fuchsian groups; surface groups; Teichmüller space; 510

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Ackermann, P. (2005). Arithmetische Fuchssche Gruppen der Signatur (2;-). (Doctoral Dissertation). Technische Universität Dortmund. Retrieved from http://dx.doi.org/10.17877/DE290R-8050

Chicago Manual of Style (16^th Edition):

Ackermann, Peter. “Arithmetische Fuchssche Gruppen der Signatur (2;-).” 2005. Doctoral Dissertation, Technische Universität Dortmund. Accessed March 08, 2021. http://dx.doi.org/10.17877/DE290R-8050.

MLA Handbook (7^th Edition):

Ackermann, Peter. “Arithmetische Fuchssche Gruppen der Signatur (2;-).” 2005. Web. 08 Mar 2021.

Vancouver:

Ackermann P. Arithmetische Fuchssche Gruppen der Signatur (2;-). [Internet] [Doctoral dissertation]. Technische Universität Dortmund; 2005. [cited 2021 Mar 08]. Available from: http://dx.doi.org/10.17877/DE290R-8050.

Council of Science Editors:

Ackermann P. Arithmetische Fuchssche Gruppen der Signatur (2;-). [Doctoral Dissertation]. Technische Universität Dortmund; 2005. Available from: http://dx.doi.org/10.17877/DE290R-8050

Johannes Gutenberg Universität Mainz

9. Hofmann, Jörg. Monodromy calculations for some differential equations.

Degree: 2013, Johannes Gutenberg Universität Mainz

URL: http://ubm.opus.hbz-nrw.de/volltexte/2013/3582/

►

In vielen Teilgebieten der Mathematik ist es w"{u}nschenswert, die Monodromiegruppe einer homogenen linearen Differenzialgleichung zu verstehen. Es sind nur wenige analytische Methoden zur Berechnung dieser… (more)

▼

In vielen Teilgebieten der Mathematik ist es w"{u}nschenswert, die Monodromiegruppe einer homogenen linearen Differenzialgleichung zu verstehen. Es sind nur wenige analytische Methoden zur Berechnung dieser Gruppe bekannt, daher entwickeln wir im ersten Teil dieser Arbeit eine numerische Methode zur Approximation ihrer Erzeuger.rnIm zweiten Abschnitt fassen wir die Grundlagen der Theorie der Uniformisierung Riemannscher Fl"achen und die der arithmetischen Fuchsschen Gruppen zusammen. Auss erdem erkl"aren wir, wie unsere numerische Methode bei der Bestimmung von uniformisierenden Differenzialgleichungen dienlich sein kann. F"ur arithmetische Fuchssche Gruppen mit zwei Erzeugern erhalten wir lokale Daten und freie Parameter von Lam'{e} Gleichungen, welche die zugeh"origen Riemannschen Fl"achen uniformisieren. rnIm dritten Teil geben wir einen kurzen Abriss zur homologischen Spiegelsymmetrie und f"uhren die widehatΓ-Klasse ein. Wir erkl"aren wie diese genutzt werden kann, um eine Hodge-theoretische Version der Spiegelsymmetrie f"ur torische Varit"aten zu beweisen. Daraus gewinnen wir Vermutungen "uber die Monodromiegruppe M von Picard-Fuchs Gleichungen von gewissen Familien f:𝓧rightarrow bbp¹ von n-dimensionalen Calabi-Yau Variet"aten. Diese besagen erstens, dass bez"uglich einer nat"urlichen Basis die Monodromiematrizen in M Eintr"age aus dem K"orper bbq(zeta(2j+1)/(2 pi i)^2j+1,j=1,ldots,lfloor (n-1)/2 rfloor) haben. Und zweitens, dass sich topologische Invarianten des Spiegelpartners einer generischen Faser von f:𝓧rightarrow bbp¹ aus einem speziellen Element von M rekonstruieren lassen. Schliess lich benutzen wir die im ersten Teil entwickelten Methoden zur Verifizierung dieser Vermutungen, vornehmlich in Hinblick auf Dimension drei. Dar"uber hinaus erstellen wir eine Liste von Kandidaten topologischer Invarianten von vermutlich existierenden dreidimensionalen Calabi-Yau Variet"aten mit h^1,1=1.

In many branches of mathematics it is eligible to understand the monodromy group of a homogeneous linear differential equation.But only few analytic methods to compute this group are known. Hence, in the first part of this thesis we develop a numerical method to approximate its generators. rnIn the second part we summarize the basics of uniformization of Riemann surfaces and of arithmetic Fuchsian groups. Furthermore we explain how our numerical method can be useful when computing uniformizing differential equations. For arithmetic Fuchsian groups with two generators we obtain the local data and the accessory parameter of a Lam'e equation uniformizing the associated Riemann surface.rnIn the third part we briefly review homological mirror symmetry and introduce the widehatΓ-class. We explain how it can be used to prove a Hodge-theoretic version of mirror symmetry for toric varieties. We gain conjectures on the monodromy group M of Picard-Fuchs equations of certain families f:𝓧rightarrow bbp¹ of n-dimensional Calabi-Yau varieties. rnThe first part of these…

Subjects/Keywords: Fuchssche Gruppen, Uniformisierung, Differentialgleichungen, Calabi-Yau Mannigfaltigkeit, Spiegelsymmetrie; Fuchsian groups, Uniformization, Calabi-Yau manifold, differential equation, mirror symmetry; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Hofmann, J. (2013). Monodromy calculations for some differential equations. (Doctoral Dissertation). Johannes Gutenberg Universität Mainz. Retrieved from http://ubm.opus.hbz-nrw.de/volltexte/2013/3582/

Chicago Manual of Style (16^th Edition):

Hofmann, Jörg. “Monodromy calculations for some differential equations.” 2013. Doctoral Dissertation, Johannes Gutenberg Universität Mainz. Accessed March 08, 2021. http://ubm.opus.hbz-nrw.de/volltexte/2013/3582/.

MLA Handbook (7^th Edition):

Hofmann, Jörg. “Monodromy calculations for some differential equations.” 2013. Web. 08 Mar 2021.

Vancouver:

Hofmann J. Monodromy calculations for some differential equations. [Internet] [Doctoral dissertation]. Johannes Gutenberg Universität Mainz; 2013. [cited 2021 Mar 08]. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2013/3582/.

Council of Science Editors:

Hofmann J. Monodromy calculations for some differential equations. [Doctoral Dissertation]. Johannes Gutenberg Universität Mainz; 2013. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2013/3582/

Universidade Estadual de Campinas

10. Alves, Alessandro Ferreira. Análise dos emparelhamentos de arestas de polígonos hiperbólicos para a construção de constelações de sinais geometricamente uniformes: Analysis of the pairing up of hyperbolical polygon sides for the construction of sign constellation geometrical uniform.

Degree: 2011, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/261080

► Abstract: In order to design a digital communication system in hyperbolic spaces is necessary to establish a systematic procedure of constructing lattices as the basic… (more)

Subjects/Keywords: Grupos fuchsianos; Geometria hiperbólica; Riemann, Superficies de; Codificação; Ladrilhamento (Matemática); Fuchsian groups; Hyperbolic geometry; Riemann surfaces; Coding; Tiling (Mathematics)

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APA (6^th Edition):

Alves, A. F. (2011). Análise dos emparelhamentos de arestas de polígonos hiperbólicos para a construção de constelações de sinais geometricamente uniformes: Analysis of the pairing up of hyperbolical polygon sides for the construction of sign constellation geometrical uniform. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/261080

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Alves, Alessandro Ferreira. “Análise dos emparelhamentos de arestas de polígonos hiperbólicos para a construção de constelações de sinais geometricamente uniformes: Analysis of the pairing up of hyperbolical polygon sides for the construction of sign constellation geometrical uniform.” 2011. Thesis, Universidade Estadual de Campinas. Accessed March 08, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/261080.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Alves, Alessandro Ferreira. “Análise dos emparelhamentos de arestas de polígonos hiperbólicos para a construção de constelações de sinais geometricamente uniformes: Analysis of the pairing up of hyperbolical polygon sides for the construction of sign constellation geometrical uniform.” 2011. Web. 08 Mar 2021.

Vancouver:

Alves AF. Análise dos emparelhamentos de arestas de polígonos hiperbólicos para a construção de constelações de sinais geometricamente uniformes: Analysis of the pairing up of hyperbolical polygon sides for the construction of sign constellation geometrical uniform. [Internet] [Thesis]. Universidade Estadual de Campinas; 2011. [cited 2021 Mar 08]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/261080.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Alves AF. Análise dos emparelhamentos de arestas de polígonos hiperbólicos para a construção de constelações de sinais geometricamente uniformes: Analysis of the pairing up of hyperbolical polygon sides for the construction of sign constellation geometrical uniform. [Thesis]. Universidade Estadual de Campinas; 2011. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/261080

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

11. Chaves, Daniel Pedro Bezerra. Sistemas dinâmicos de eventos discretos com aplicação ao fluxo geodésico em superfícies hiperbólicas: Discrete event dynamical systems with application to the geodesic flow on hyperbolic surfaces.

Degree: 2011, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/260471

► Abstract: In this work we present methods for a combinatorial description of the geodesic flow on a hyperbolic compact surface, with the intent of identifying… (more)

Subjects/Keywords: Dinâmica; Grupos fuchsianos; Geometria hiperbólica; Teoria da informação; Teoria dos autômatos; Dynamical systems; Fuchsian groups; Hyperbolic geometry; Information theory; Automata theory

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APA (6^th Edition):

Chaves, D. P. B. (2011). Sistemas dinâmicos de eventos discretos com aplicação ao fluxo geodésico em superfícies hiperbólicas: Discrete event dynamical systems with application to the geodesic flow on hyperbolic surfaces. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/260471

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Chaves, Daniel Pedro Bezerra. “Sistemas dinâmicos de eventos discretos com aplicação ao fluxo geodésico em superfícies hiperbólicas: Discrete event dynamical systems with application to the geodesic flow on hyperbolic surfaces.” 2011. Thesis, Universidade Estadual de Campinas. Accessed March 08, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/260471.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Chaves, Daniel Pedro Bezerra. “Sistemas dinâmicos de eventos discretos com aplicação ao fluxo geodésico em superfícies hiperbólicas: Discrete event dynamical systems with application to the geodesic flow on hyperbolic surfaces.” 2011. Web. 08 Mar 2021.

Vancouver:

Chaves DPB. Sistemas dinâmicos de eventos discretos com aplicação ao fluxo geodésico em superfícies hiperbólicas: Discrete event dynamical systems with application to the geodesic flow on hyperbolic surfaces. [Internet] [Thesis]. Universidade Estadual de Campinas; 2011. [cited 2021 Mar 08]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/260471.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Chaves DPB. Sistemas dinâmicos de eventos discretos com aplicação ao fluxo geodésico em superfícies hiperbólicas: Discrete event dynamical systems with application to the geodesic flow on hyperbolic surfaces. [Thesis]. Universidade Estadual de Campinas; 2011. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/260471

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

12. Hennig, Dirk. Testelemente in Fuchsschen Gruppen.

Degree: 2002, Universität Dortmund

URL: http://hdl.handle.net/2003/2312

Subjects/Keywords: Fuchsian Groups; Fuchssche Gruppen; Testelemente; Test elements; 510

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Hennig, D. (2002). Testelemente in Fuchsschen Gruppen. (Thesis). Universität Dortmund. Retrieved from http://hdl.handle.net/2003/2312

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Hennig, Dirk. “Testelemente in Fuchsschen Gruppen.” 2002. Thesis, Universität Dortmund. Accessed March 08, 2021. http://hdl.handle.net/2003/2312.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Hennig, Dirk. “Testelemente in Fuchsschen Gruppen.” 2002. Web. 08 Mar 2021.

Vancouver:

Hennig D. Testelemente in Fuchsschen Gruppen. [Internet] [Thesis]. Universität Dortmund; 2002. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/2003/2312.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hennig D. Testelemente in Fuchsschen Gruppen. [Thesis]. Universität Dortmund; 2002. Available from: http://hdl.handle.net/2003/2312

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

13. Lilyane Gonzaga Figueiredo. Reticulados em toros euclidianos n-dimensionais e em g-toros planos hiperbólicos.

Degree: 2011, Federal University of Uberlândia

URL: http://www.bdtd.ufu.br//tde_busca/arquivo.php?codArquivo=3787

►

Neste trabalho estudamos reticulados em espaços quocientes. Os espaços quocientes considerados foram: (1) toros euclidianos n-dimensionais, obtidos pelo quociente de Rn por grupos discretos de… (more)

Subjects/Keywords: Reticulados; Toros; Grupos fuchsianos; Geometria hiperbólica; MATEMATICA; Teoria dos reticulados; Isometria (Matemática); Lattices; Tori; Fuchsian groups; Hyperbolic geometry; Isometrias; Isometries

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Figueiredo, L. G. (2011). Reticulados em toros euclidianos n-dimensionais e em g-toros planos hiperbólicos. (Thesis). Federal University of Uberlândia. Retrieved from http://www.bdtd.ufu.br//tde_busca/arquivo.php?codArquivo=3787

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Figueiredo, Lilyane Gonzaga. “Reticulados em toros euclidianos n-dimensionais e em g-toros planos hiperbólicos.” 2011. Thesis, Federal University of Uberlândia. Accessed March 08, 2021. http://www.bdtd.ufu.br//tde_busca/arquivo.php?codArquivo=3787.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Figueiredo, Lilyane Gonzaga. “Reticulados em toros euclidianos n-dimensionais e em g-toros planos hiperbólicos.” 2011. Web. 08 Mar 2021.

Vancouver:

Figueiredo LG. Reticulados em toros euclidianos n-dimensionais e em g-toros planos hiperbólicos. [Internet] [Thesis]. Federal University of Uberlândia; 2011. [cited 2021 Mar 08]. Available from: http://www.bdtd.ufu.br//tde_busca/arquivo.php?codArquivo=3787.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Figueiredo LG. Reticulados em toros euclidianos n-dimensionais e em g-toros planos hiperbólicos. [Thesis]. Federal University of Uberlândia; 2011. Available from: http://www.bdtd.ufu.br//tde_busca/arquivo.php?codArquivo=3787

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Université de Lorraine

14. Iordanov, Iordan. Delaunay triangulations of a family of symmetric hyperbolic surfaces in practice : Triangulations de Delaunay d'une famille de surfaces hyperboliques symétriques en pratique.

Degree: Docteur es, Informatique, 2019, Université de Lorraine

URL: http://www.theses.fr/2019LORR0010

► La surface de Bolza est la surface hyperbolique orientable compacte la plus symétrique de genre 2. Pour tout genre supérieur à 2, il existe une… (more)

▼ La surface de Bolza est la surface hyperbolique orientable compacte la plus symétrique de genre 2. Pour tout genre supérieur à 2, il existe une surface orientable compacte construite de manière similaire à la surface de Bolza et ayant le même type de symétries. Nous appelons ces surfaces des surfaces hyperboliques symétriques. Cette thèse porte sur le calcul des triangulations de Delaunay (TD) de surfaces hyperboliques symétriques. Les TD de surfaces compactes peuvent être considérées comme des TD périodiques de leur revêtement universel (dans notre cas, le plan hyperbolique). Une TD est pour nous un complexe simplicial. Cependant, les ensembles de points ne définissent pas tous une décomposition simpliciale d'une surface hyperbolique symétrique. Dans la littérature, un algorithme a été proposé pour traiter ce problème avec l'utilisation de points factices : initialement une TD de la surface est construite avec un ensemble de points connu, puis des points d'entrée sont insérés avec le célèbre algorithme incrémental de Bowyer, et enfin les points factices sont supprimés, si la triangulation reste toujours un complexe simplicial. Pour la surface de Bolza, les points factices sont spécifiés. L'algorithme existant calcule une DT de la surface de Bolza comme une DT périodique du plan hyperbolique, ce qui nécessite de travailler dans un sous-ensemble approprié du plan hyperbolique. Nous étudions les propriétés des TD de la surface de Bolza définies par des ensembles de points contenants l'ensemble proposé de points factices, et nous décrivons en détail une implémentation de l'algorithme incrémentiel pour cette surface. Nous commençons par définir un représentant canonique unique qui est contenu dans un sous-ensemble borné du plan hyperbolique pour chaque face d'une TD de la surface. Nous donnons une structure de données pour représenter une TD de la surface de Bolza via les représentants canoniques de ses faces. Nous détaillons les étapes de la construction d'une telle triangulation et les opérations supplémentaires qui permettent de localiser les points et de retirer des sommets. Nous présentons également les résultats sur le degré algébrique des prédicats nécessaires pour toutes les opérations. Nous fournissons une implémentation entièrement dynamique pour la surface de Bolza, en offrant l'insertion de nouveaux points, la suppression des sommets existants, la localisation des points, et la construction d'objets duaux. Notre implémentation est basée sur la bibliothèque CGAL (Computational Geometry Algorithms Library), et est actuellement en cours de révision pour être intégrée dans la bibliothèque. L'intégration de notre code dans CGAL nécessite que tous les objets que nous introduisons soient compatibles avec le cadre existant et conformes aux standards adoptés par la bibliothèque. Nous donnons une description détaillée des classes utilisées pour représenter et traiter les triangulations hyperboliques périodiques et les objets associés. Des analyses comparatives et des tests sont effectués pour évaluer notre… Advisors/Committee Members: Teillaud, Monique (thesis director).

Subjects/Keywords: Triangulation de Delaunay; Géométrie hyperbolique; Groupes Fuchsiens; CGAL; Delaunay triangulations; Hyperbolic geometry; Fuchsian groups; CGAL; 005.1; 516.002 85

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Iordanov, I. (2019). Delaunay triangulations of a family of symmetric hyperbolic surfaces in practice : Triangulations de Delaunay d'une famille de surfaces hyperboliques symétriques en pratique. (Doctoral Dissertation). Université de Lorraine. Retrieved from http://www.theses.fr/2019LORR0010

Chicago Manual of Style (16^th Edition):

Iordanov, Iordan. “Delaunay triangulations of a family of symmetric hyperbolic surfaces in practice : Triangulations de Delaunay d'une famille de surfaces hyperboliques symétriques en pratique.” 2019. Doctoral Dissertation, Université de Lorraine. Accessed March 08, 2021. http://www.theses.fr/2019LORR0010.

MLA Handbook (7^th Edition):

Iordanov, Iordan. “Delaunay triangulations of a family of symmetric hyperbolic surfaces in practice : Triangulations de Delaunay d'une famille de surfaces hyperboliques symétriques en pratique.” 2019. Web. 08 Mar 2021.

Vancouver:

Iordanov I. Delaunay triangulations of a family of symmetric hyperbolic surfaces in practice : Triangulations de Delaunay d'une famille de surfaces hyperboliques symétriques en pratique. [Internet] [Doctoral dissertation]. Université de Lorraine; 2019. [cited 2021 Mar 08]. Available from: http://www.theses.fr/2019LORR0010.

Council of Science Editors:

Iordanov I. Delaunay triangulations of a family of symmetric hyperbolic surfaces in practice : Triangulations de Delaunay d'une famille de surfaces hyperboliques symétriques en pratique. [Doctoral Dissertation]. Université de Lorraine; 2019. Available from: http://www.theses.fr/2019LORR0010

15. Hennig, Dirk. Testelemente in Fuchsschen Gruppen.

Degree: 2002, Technische Universität Dortmund

URL: http://dx.doi.org/10.17877/DE290R-12517

Subjects/Keywords: Test elements; Fuchsian Groups; Testelemente; Fuchssche Gruppen; 510

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Hennig, D. (2002). Testelemente in Fuchsschen Gruppen. (Doctoral Dissertation). Technische Universität Dortmund. Retrieved from http://dx.doi.org/10.17877/DE290R-12517

Chicago Manual of Style (16^th Edition):

Hennig, Dirk. “Testelemente in Fuchsschen Gruppen.” 2002. Doctoral Dissertation, Technische Universität Dortmund. Accessed March 08, 2021. http://dx.doi.org/10.17877/DE290R-12517.

MLA Handbook (7^th Edition):

Hennig, Dirk. “Testelemente in Fuchsschen Gruppen.” 2002. Web. 08 Mar 2021.

Vancouver:

Hennig D. Testelemente in Fuchsschen Gruppen. [Internet] [Doctoral dissertation]. Technische Universität Dortmund; 2002. [cited 2021 Mar 08]. Available from: http://dx.doi.org/10.17877/DE290R-12517.

Council of Science Editors:

Hennig D. Testelemente in Fuchsschen Gruppen. [Doctoral Dissertation]. Technische Universität Dortmund; 2002. Available from: http://dx.doi.org/10.17877/DE290R-12517

16. Norfleet, Mark Alan. Fuchsian groups of signature (0 : 2, ... , 2; 1; 0) with rational hyperbolic fixed points.

Degree: PhD, Mathematics, 2013, University of Texas – Austin

URL: http://hdl.handle.net/2152/21688

► We construct Fuchsian groups [Gamma] of signature (0 : 2, ... ,2 ;1;0) so that the set of hyperbolic fixed points of [Gamma] will contain… (more)

Subjects/Keywords: Fuchsian groups; Rational hyperbolic fixed points; Pseudomodular groups

…type of problem, see [2] and its references. Recall that Fuchsian groups Γ1 and Γ2… …If Γ1 and Γ2 are finite covolume Fuchsian groups with the same set of cusps (or same… …contained in Q ∪ {∞}. For Fuchsian groups, a boundary point cannot both be a cusp and a… …infinitely many commensurability classes of finite covolume Fuchsian groups sitting in PSL2 (Q… …produce infinitely many noncommensurable finite covolume Fuchsian groups in SL2 (Q)…

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APA (6^th Edition):

Norfleet, M. A. (2013). Fuchsian groups of signature (0 : 2, ... , 2; 1; 0) with rational hyperbolic fixed points. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/21688

Chicago Manual of Style (16^th Edition):

Norfleet, Mark Alan. “Fuchsian groups of signature (0 : 2, ... , 2; 1; 0) with rational hyperbolic fixed points.” 2013. Doctoral Dissertation, University of Texas – Austin. Accessed March 08, 2021. http://hdl.handle.net/2152/21688.

MLA Handbook (7^th Edition):

Norfleet, Mark Alan. “Fuchsian groups of signature (0 : 2, ... , 2; 1; 0) with rational hyperbolic fixed points.” 2013. Web. 08 Mar 2021.

Vancouver:

Norfleet MA. Fuchsian groups of signature (0 : 2, ... , 2; 1; 0) with rational hyperbolic fixed points. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2013. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/2152/21688.

Council of Science Editors:

Norfleet MA. Fuchsian groups of signature (0 : 2, ... , 2; 1; 0) with rational hyperbolic fixed points. [Doctoral Dissertation]. University of Texas – Austin; 2013. Available from: http://hdl.handle.net/2152/21688

17. Guerin, Clément. Singularités orbifoldes de la variété des caractères : Orbifold singularities of the character variety.

Degree: Docteur es, Mathématiques, 2016, Université de Strasbourg

URL: http://www.theses.fr/2016STRAD016

►

Dans cette thèse, nous nous intéressons à des singularités particulières dans les variétés de caractères. Dans le premier chapitre, on justifie que les caractères de… (more)

Subjects/Keywords: Variété des caractères; Représentations irréductibles; Groupes fuchsiens; Singularités orbifoldes; Modules alternés; Character variety; Irreducible representations; Fuchsian groups; Orbifold singularities; Alternate modules; 514; 516.3

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Guerin, C. (2016). Singularités orbifoldes de la variété des caractères : Orbifold singularities of the character variety. (Doctoral Dissertation). Université de Strasbourg. Retrieved from http://www.theses.fr/2016STRAD016

Chicago Manual of Style (16^th Edition):

Guerin, Clément. “Singularités orbifoldes de la variété des caractères : Orbifold singularities of the character variety.” 2016. Doctoral Dissertation, Université de Strasbourg. Accessed March 08, 2021. http://www.theses.fr/2016STRAD016.

MLA Handbook (7^th Edition):

Guerin, Clément. “Singularités orbifoldes de la variété des caractères : Orbifold singularities of the character variety.” 2016. Web. 08 Mar 2021.

Vancouver:

Guerin C. Singularités orbifoldes de la variété des caractères : Orbifold singularities of the character variety. [Internet] [Doctoral dissertation]. Université de Strasbourg; 2016. [cited 2021 Mar 08]. Available from: http://www.theses.fr/2016STRAD016.

Council of Science Editors:

Guerin C. Singularités orbifoldes de la variété des caractères : Orbifold singularities of the character variety. [Doctoral Dissertation]. Université de Strasbourg; 2016. Available from: http://www.theses.fr/2016STRAD016

Université du Luxembourg

18. Mazzoli, Filippo. Constant curvature surfaces and volumes of convex co-compact hyperbolic manifolds.

Degree: 2020, Université du Luxembourg

URL: http://orbilu.uni.lu/handle/10993/43901

► We investigate the properties of various notions of volume for convex co-compact hyperbolic 3-manifolds, and their relations with the geometry of the Teichmüller space. We… (more)

Subjects/Keywords: Teichmüller theory; Kleinian groups; hyperbolic manifolds; convex core; dual volume; renormalized volume; hyperbolic geometry; quasi-Fuchsian groups; Bonahon-Schlafli formula; dual Bonahon-Schlafli formula; Physical, chemical, mathematical & earth Sciences :: Mathematics [G03]; Physique, chimie, mathématiques & sciences de la terre :: Mathématiques [G03]

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APA (6^th Edition):

Mazzoli, F. (2020). Constant curvature surfaces and volumes of convex co-compact hyperbolic manifolds. (Doctoral Dissertation). Université du Luxembourg. Retrieved from http://orbilu.uni.lu/handle/10993/43901

Chicago Manual of Style (16^th Edition):

Mazzoli, Filippo. “Constant curvature surfaces and volumes of convex co-compact hyperbolic manifolds.” 2020. Doctoral Dissertation, Université du Luxembourg. Accessed March 08, 2021. http://orbilu.uni.lu/handle/10993/43901.

MLA Handbook (7^th Edition):

Mazzoli, Filippo. “Constant curvature surfaces and volumes of convex co-compact hyperbolic manifolds.” 2020. Web. 08 Mar 2021.

Vancouver:

Mazzoli F. Constant curvature surfaces and volumes of convex co-compact hyperbolic manifolds. [Internet] [Doctoral dissertation]. Université du Luxembourg; 2020. [cited 2021 Mar 08]. Available from: http://orbilu.uni.lu/handle/10993/43901.

Council of Science Editors:

Mazzoli F. Constant curvature surfaces and volumes of convex co-compact hyperbolic manifolds. [Doctoral Dissertation]. Université du Luxembourg; 2020. Available from: http://orbilu.uni.lu/handle/10993/43901

University of Zambia

19. Mwamba, Patrick. On projective representations on finite abelian group .

Degree: 2012, University of Zambia

URL: http://hdl.handle.net/123456789/1690

► Saeed [11] has considered Schur multipliers of some of the finite abelian groups.The study of the schur multipliers of abelian groups is the first step… (more)

Subjects/Keywords: Finite Groups; Linear Algebraic Groups

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APA (6^th Edition):

Mwamba, P. (2012). On projective representations on finite abelian group . (Thesis). University of Zambia. Retrieved from http://hdl.handle.net/123456789/1690

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Mwamba, Patrick. “On projective representations on finite abelian group .” 2012. Thesis, University of Zambia. Accessed March 08, 2021. http://hdl.handle.net/123456789/1690.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Mwamba, Patrick. “On projective representations on finite abelian group .” 2012. Web. 08 Mar 2021.

Vancouver:

Mwamba P. On projective representations on finite abelian group . [Internet] [Thesis]. University of Zambia; 2012. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/123456789/1690.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Mwamba P. On projective representations on finite abelian group . [Thesis]. University of Zambia; 2012. Available from: http://hdl.handle.net/123456789/1690

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Vanderbilt University

20. Kent, Curtis Andrew. Topological properties of asymptotic cones.

Degree: PhD, Mathematics, 2013, Vanderbilt University

URL: http://hdl.handle.net/1803/10930

► Gromov asked whether an asymptotic cone of a finitely generated group was always simply connected or had uncountable fundamental group. We prove that Gromov's dichotomy… (more)

Subjects/Keywords: fundamental groups; asymptotic cones; groups

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APA (6^th Edition):

Kent, C. A. (2013). Topological properties of asymptotic cones. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://hdl.handle.net/1803/10930

Chicago Manual of Style (16^th Edition):

Kent, Curtis Andrew. “Topological properties of asymptotic cones.” 2013. Doctoral Dissertation, Vanderbilt University. Accessed March 08, 2021. http://hdl.handle.net/1803/10930.

MLA Handbook (7^th Edition):

Kent, Curtis Andrew. “Topological properties of asymptotic cones.” 2013. Web. 08 Mar 2021.

Vancouver:

Kent CA. Topological properties of asymptotic cones. [Internet] [Doctoral dissertation]. Vanderbilt University; 2013. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/1803/10930.

Council of Science Editors:

Kent CA. Topological properties of asymptotic cones. [Doctoral Dissertation]. Vanderbilt University; 2013. Available from: http://hdl.handle.net/1803/10930

21. Griffin, James Thomas. Automorphisms of free products of groups.

Degree: PhD, 2013, University of Cambridge

URL: http://www.dspace.cam.ac.uk/handle/1810/244265https://www.repository.cam.ac.uk/bitstream/1810/244265/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/244265/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/244265/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/244265/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/244265/8/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/244265/9/thesis.pdf.jpg

► The symmetric automorphism group of a free product is a group rich in algebraic structure and with strong links to geometric configuration spaces. In this… (more)

Subjects/Keywords: Automorphism groups; Cohomology of groups

6 more images…

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APA (6^th Edition):

Griffin, J. T. (2013). Automorphisms of free products of groups. (Doctoral Dissertation). University of Cambridge. Retrieved from http://www.dspace.cam.ac.uk/handle/1810/244265https://www.repository.cam.ac.uk/bitstream/1810/244265/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/244265/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/244265/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/244265/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/244265/8/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/244265/9/thesis.pdf.jpg

Chicago Manual of Style (16^th Edition):

Griffin, James Thomas. “Automorphisms of free products of groups.” 2013. Doctoral Dissertation, University of Cambridge. Accessed March 08, 2021. http://www.dspace.cam.ac.uk/handle/1810/244265https://www.repository.cam.ac.uk/bitstream/1810/244265/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/244265/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/244265/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/244265/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/244265/8/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/244265/9/thesis.pdf.jpg.

MLA Handbook (7^th Edition):

Griffin, James Thomas. “Automorphisms of free products of groups.” 2013. Web. 08 Mar 2021.

Vancouver:

Griffin JT. Automorphisms of free products of groups. [Internet] [Doctoral dissertation]. University of Cambridge; 2013. [cited 2021 Mar 08]. Available from: http://www.dspace.cam.ac.uk/handle/1810/244265https://www.repository.cam.ac.uk/bitstream/1810/244265/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/244265/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/244265/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/244265/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/244265/8/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/244265/9/thesis.pdf.jpg.

Council of Science Editors:

Griffin JT. Automorphisms of free products of groups. [Doctoral Dissertation]. University of Cambridge; 2013. Available from: http://www.dspace.cam.ac.uk/handle/1810/244265https://www.repository.cam.ac.uk/bitstream/1810/244265/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/244265/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/244265/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/244265/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/244265/8/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/244265/9/thesis.pdf.jpg

University of Illinois – Chicago

22. Duong, Yen Ngoc. On Random Groups: the Square Model at Density d<1/3 and as Quotients of Free Nilpotent Groups.

Degree: 2017, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/22010

► We prove that random groups in the square model at density d<1/3 are residually finite, and that random groups in the density model are almost… (more)

Subjects/Keywords: nilpotent groups; random groups; cubulation

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APA (6^th Edition):

Duong, Y. N. (2017). On Random Groups: the Square Model at Density d<1/3 and as Quotients of Free Nilpotent Groups. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/22010

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Duong, Yen Ngoc. “On Random Groups: the Square Model at Density d<1/3 and as Quotients of Free Nilpotent Groups.” 2017. Thesis, University of Illinois – Chicago. Accessed March 08, 2021. http://hdl.handle.net/10027/22010.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Duong, Yen Ngoc. “On Random Groups: the Square Model at Density d<1/3 and as Quotients of Free Nilpotent Groups.” 2017. Web. 08 Mar 2021.

Vancouver:

Duong YN. On Random Groups: the Square Model at Density d<1/3 and as Quotients of Free Nilpotent Groups. [Internet] [Thesis]. University of Illinois – Chicago; 2017. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/10027/22010.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Duong YN. On Random Groups: the Square Model at Density d<1/3 and as Quotients of Free Nilpotent Groups. [Thesis]. University of Illinois – Chicago; 2017. Available from: http://hdl.handle.net/10027/22010

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Oregon State University

23. Vellucci, Jessica K. Total Synthesis of Goniomitine : Development of Aminal and α-Amino Radicals in the Synthesis of Nitrogen-Rich Natural Products: Total Synthesis of Goniomitine: Development of Aminal and [alpha]-Amino Radicals in the Synthesis of Nitrogen-Rich Natural Products.

Degree: PhD, Chemistry, 2015, Oregon State University

URL: http://hdl.handle.net/1957/56321

► Aminal radical intermediates were generated by the method of radical translocation and reacted in C-C bond forming reactions with electronically deficient alkenes (Schiedler et al.… (more)

▼ Aminal radical intermediates were generated by the method of radical translocation and reacted in C-C bond forming reactions with electronically deficient alkenes (Schiedler et al. Org. Lett. 2012, 14, 6092). Aminal radical intermediates can participate in inter- and intra-molecular reactions using both Bu3SnH and (TMS)₃SiH as hydride donors. Carbon–carbon bonds were formed selectively at the aminal carbon in the presence of α-amino alkyl groups within the molecule. Bicyclic aminals also participated in C-C bond formation affording products in high diastereoselectivity. The application of aminal radical intermediates toward the synthesis of the nitrogen- rich alkaloid goniomitine was investigated. The first generation route involved the development of an acyclic aminal bearing the nitrogen of a 2,3-disubstituted indole and the N-(2-iodobenzyl)formamide nitrogen atom. In the reaction of N- (hydroxymethyl)-N-(2-iodobenzyl)formamide and the indole substrate, none of the desired acyclic aminal was observed. A second generation route utilized an α-aminoalkyl radical intermediate (generated by radical translocation) to construct the indole framework of goniomitine. The synthesis commenced with a copper-catalyzed Ullmann reaction of an aryl iodide and ethyl-substituted lactam providing the corresponding N-aryl coupling product in 96% yield. Subsequent zinc-catalyzed alkylation with acrylonitrile gave the product in 76% yield, thus installing the quaternary stereocenter of the natural product. Bromination followed by elimination provided the vinyl bromide precursor for the α- amino radical reaction. Upon treatment with tributyltin hydride and AIBN in refluxing benzene, the substrate underwent homolytic C-Br cleavage, radical translocation and subsequent 5-exo-trig cyclization to provide the desired indoline product as a 3:1 diastereomeric mixture in 83% yield. The indoline was subjected to LiAlH₄ to reduce the methyl ester as well as the nitrile to the corresponding primary amine. Upon heating, the amine underwent intramolecular condensation with the lactam, providing the aminal framework of goniomitine. A final oxidation with MnO₂ afforded the natural product in a total of six linear steps and 27% overall yield. Advisors/Committee Members: Beaudry, Christopher M. (advisor), Blakemore, Paul R. (committee member).

Subjects/Keywords: Amino groups

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APA (6^th Edition):

Vellucci, J. K. (2015). Total Synthesis of Goniomitine : Development of Aminal and α-Amino Radicals in the Synthesis of Nitrogen-Rich Natural Products: Total Synthesis of Goniomitine: Development of Aminal and [alpha]-Amino Radicals in the Synthesis of Nitrogen-Rich Natural Products. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/56321

Chicago Manual of Style (16^th Edition):

Vellucci, Jessica K. “Total Synthesis of Goniomitine : Development of Aminal and α-Amino Radicals in the Synthesis of Nitrogen-Rich Natural Products: Total Synthesis of Goniomitine: Development of Aminal and [alpha]-Amino Radicals in the Synthesis of Nitrogen-Rich Natural Products.” 2015. Doctoral Dissertation, Oregon State University. Accessed March 08, 2021. http://hdl.handle.net/1957/56321.

MLA Handbook (7^th Edition):

Vellucci, Jessica K. “Total Synthesis of Goniomitine : Development of Aminal and α-Amino Radicals in the Synthesis of Nitrogen-Rich Natural Products: Total Synthesis of Goniomitine: Development of Aminal and [alpha]-Amino Radicals in the Synthesis of Nitrogen-Rich Natural Products.” 2015. Web. 08 Mar 2021.

Vancouver:

Vellucci JK. Total Synthesis of Goniomitine : Development of Aminal and α-Amino Radicals in the Synthesis of Nitrogen-Rich Natural Products: Total Synthesis of Goniomitine: Development of Aminal and [alpha]-Amino Radicals in the Synthesis of Nitrogen-Rich Natural Products. [Internet] [Doctoral dissertation]. Oregon State University; 2015. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/1957/56321.

Council of Science Editors:

Vellucci JK. Total Synthesis of Goniomitine : Development of Aminal and α-Amino Radicals in the Synthesis of Nitrogen-Rich Natural Products: Total Synthesis of Goniomitine: Development of Aminal and [alpha]-Amino Radicals in the Synthesis of Nitrogen-Rich Natural Products. [Doctoral Dissertation]. Oregon State University; 2015. Available from: http://hdl.handle.net/1957/56321

North-West University

24. Adem, Abdullahi Rashid. Lie symmetry analysis of certain nonlinear evolution equations of mathematical physics / Abdullahi Rashid Adem.

Degree: 2013, North-West University

URL: http://hdl.handle.net/10394/16146

► In this work we study the applications of Lie symmetry analysis to certain nonlinear evolution equations of mathematical physics. Exact solutions and conservation laws are… (more)

▼ In this work we study the applications of Lie symmetry analysis to certain nonlinear evolution equations of mathematical physics. Exact solutions and conservation laws are obtained for such equations. The equations which are considered in this thesis are a generalized Korteweg-de Vries-Burgers equation, a two-dimensional integrable generalization of the Kaup-Kupershmidt equation, a coupled Korteweg-de Vries system, a generalized coupled variable-coefficient modified Korteweg-de Vries system, a new coupled Korteweg-de Vries system and a new coupled Kadomtsev-Petviashvili system. The generalized Korteweg-de Vries-Burgers equation is investigated from the point of view of Lie group classification. We show that this equation admits a four-dimensional equivalence Lie algebra. It is also shown that the principal Lie algebra consists of a single translation symmetry. Several possible extensions of the principal Lie algebra are computed and their associated symmetry reductions and exact solutions are obtained. The Lie symmetry method is performed on a two-dimensional integrable generalization of the Kaup-Kupershmidt equation. Exact solutions are obtained using the Lie symmetry method in conjunction with the extended tanh method and the extended Jacobi elliptic function method. In addition to exact solutions we also present conservation laws which are derived using the multiplier approach. A coupled Korteweg-de Vries system and a generalized coupled variable-coefficient modified Korteweg-de Vries system are investigated using Lie symmetry analysis. The similarity reductions and exact solutions with the aid of simplest equations and Jacobi elliptic function methods are obtained for the coupled Korteweg-de Vries system and the generalized coupled variable-coefficient modified Korteweg-de Vries system. In addition to this, the conservation laws for the two systems are derived using the multiplier approach and the conservation theorem due to Ibragimov. Finally, a new coupled Korteweg-de Vries system and a new coupled Kadomtsev Petviashvili system are analyzed using Lie symmetry method. Exact solutions are obtained using the Lie symmetry method in conjunction with the simplest equation, Jacobi elliptic function and (G'/G)-expansion methods. Conservation laws are also obtained for both the systems by employing the multiplier approach.

Subjects/Keywords: Lie groups

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APA (6^th Edition):

Adem, A. R. (2013). Lie symmetry analysis of certain nonlinear evolution equations of mathematical physics / Abdullahi Rashid Adem. (Thesis). North-West University. Retrieved from http://hdl.handle.net/10394/16146

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Adem, Abdullahi Rashid. “Lie symmetry analysis of certain nonlinear evolution equations of mathematical physics / Abdullahi Rashid Adem. ” 2013. Thesis, North-West University. Accessed March 08, 2021. http://hdl.handle.net/10394/16146.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Adem, Abdullahi Rashid. “Lie symmetry analysis of certain nonlinear evolution equations of mathematical physics / Abdullahi Rashid Adem. ” 2013. Web. 08 Mar 2021.

Vancouver:

Adem AR. Lie symmetry analysis of certain nonlinear evolution equations of mathematical physics / Abdullahi Rashid Adem. [Internet] [Thesis]. North-West University; 2013. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/10394/16146.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Adem AR. Lie symmetry analysis of certain nonlinear evolution equations of mathematical physics / Abdullahi Rashid Adem. [Thesis]. North-West University; 2013. Available from: http://hdl.handle.net/10394/16146

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

25. Jaskowiak, Luke Andrew. Survey Of The Classification Theory of Semisimple Algebraic Groups Over Perfect Fields.

Degree: 2019, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/23841

► The focus of this work is to approach the question of the classification of semisimple algebraic groups over perfect fields from the perspective of I.… (more)

Subjects/Keywords: Algebraic groups

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APA (6^th Edition):

Jaskowiak, L. A. (2019). Survey Of The Classification Theory of Semisimple Algebraic Groups Over Perfect Fields. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/23841

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Jaskowiak, Luke Andrew. “Survey Of The Classification Theory of Semisimple Algebraic Groups Over Perfect Fields.” 2019. Thesis, University of Illinois – Chicago. Accessed March 08, 2021. http://hdl.handle.net/10027/23841.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Jaskowiak, Luke Andrew. “Survey Of The Classification Theory of Semisimple Algebraic Groups Over Perfect Fields.” 2019. Web. 08 Mar 2021.

Vancouver:

Jaskowiak LA. Survey Of The Classification Theory of Semisimple Algebraic Groups Over Perfect Fields. [Internet] [Thesis]. University of Illinois – Chicago; 2019. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/10027/23841.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Jaskowiak LA. Survey Of The Classification Theory of Semisimple Algebraic Groups Over Perfect Fields. [Thesis]. University of Illinois – Chicago; 2019. Available from: http://hdl.handle.net/10027/23841

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Université Catholique de Louvain

26. Stulemeijer, Thierry. Semisimple algebraic groups from a topological group perspective.

Degree: 2017, Université Catholique de Louvain

URL: http://hdl.handle.net/2078.1/188311

►

An algebraic group is a mathematical concept finding its origins in the theory of Lie groups, which nowadays plays a central role in theoretical physics.… (more)

Subjects/Keywords: Algebraic groups

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APA (6^th Edition):

Stulemeijer, T. (2017). Semisimple algebraic groups from a topological group perspective. (Thesis). Université Catholique de Louvain. Retrieved from http://hdl.handle.net/2078.1/188311

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Stulemeijer, Thierry. “Semisimple algebraic groups from a topological group perspective.” 2017. Thesis, Université Catholique de Louvain. Accessed March 08, 2021. http://hdl.handle.net/2078.1/188311.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Stulemeijer, Thierry. “Semisimple algebraic groups from a topological group perspective.” 2017. Web. 08 Mar 2021.

Vancouver:

Stulemeijer T. Semisimple algebraic groups from a topological group perspective. [Internet] [Thesis]. Université Catholique de Louvain; 2017. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/2078.1/188311.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Stulemeijer T. Semisimple algebraic groups from a topological group perspective. [Thesis]. Université Catholique de Louvain; 2017. Available from: http://hdl.handle.net/2078.1/188311

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Hawaii – Manoa

27. Libarios, Ernest Duterte. Social stratification and higher education outcomes : the case of Filipinos in Hawaiʻi.

Degree: 2016, University of Hawaii – Manoa

URL: http://hdl.handle.net/10125/100616

►

Ph.D. University of Hawaii at Manoa 2013.

Filipinos are the second largest ethnic group in Hawaiʻi and their population continues to grow at a rapid… (more)

▼

Ph.D. University of Hawaii at Manoa 2013.

Filipinos are the second largest ethnic group in Hawaiʻi and their population continues to grow at a rapid pace. However, they are among the lower socioeconomic groups in Hawaiʻi and are disproportionately represented in the University of Hawaiʻi system – overrepresented in the community colleges while underrepresented at the flagship campus, the University of Hawaiʻi at Manoa. This study examined the impact of students' social and academic backgrounds on baccalaureate degree completion using social stratification theory and focusing primarily on Filipinos as a case study. The sample consisted of the 1997 Hawaiʻi Department of Education senior class. The subset of this cohort that entered the Hawaiʻi public higher education system (N = 5206) was monitored over a ten-year period from entry following high school graduation to baccalaureate degree attainment. At the end of this period, 813 students had received undergraduate degrees, including 202 transfer students. The results of the longitudinal quantitative analyses identified several key events along the pathway that highlight differing patterns of retention, persistence, or failure. Entering through the state's community colleges and transferring to a university was found to decrease the chances of persisting to an undergraduate degree, especially for students pursuing particular types of majors, e.g. STEM. Filipino post-secondary students were found to be significantly more likely to enter post-secondary education through the community colleges. Implications include developing strategies to help Filipinos further their higher education attainment. This includes helping Filipinos enroll directly into four-year universities and assisting those who enroll in the community colleges with the transfer process. This study provides a framework to understand underrepresented ethnic groups in higher education and the context to explore important higher education issues including college enrollment, transfer, and undergraduate degree completion.

Subjects/Keywords: ethnic groups

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Libarios, E. D. (2016). Social stratification and higher education outcomes : the case of Filipinos in Hawaiʻi. (Thesis). University of Hawaii – Manoa. Retrieved from http://hdl.handle.net/10125/100616

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Libarios, Ernest Duterte. “Social stratification and higher education outcomes : the case of Filipinos in Hawaiʻi.” 2016. Thesis, University of Hawaii – Manoa. Accessed March 08, 2021. http://hdl.handle.net/10125/100616.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Libarios, Ernest Duterte. “Social stratification and higher education outcomes : the case of Filipinos in Hawaiʻi.” 2016. Web. 08 Mar 2021.

Vancouver:

Libarios ED. Social stratification and higher education outcomes : the case of Filipinos in Hawaiʻi. [Internet] [Thesis]. University of Hawaii – Manoa; 2016. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/10125/100616.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Libarios ED. Social stratification and higher education outcomes : the case of Filipinos in Hawaiʻi. [Thesis]. University of Hawaii – Manoa; 2016. Available from: http://hdl.handle.net/10125/100616

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University College Cork

28. Mernagh, Andrew. The Irish Sudden Infant Death Association: what type of interest group is it, and how did it contribute to the establishment of the National Sudden Infant Death Register?.

Degree: 2019, University College Cork

URL: http://hdl.handle.net/10468/10874

► On November 27th 1975, Eimear Berry discovered her fourteen-week old son Brendan dead in his cot, the death was silent, sudden unpredictable and of unknown… (more)

Subjects/Keywords: Interest groups

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APA (6^th Edition):

Mernagh, A. (2019). The Irish Sudden Infant Death Association: what type of interest group is it, and how did it contribute to the establishment of the National Sudden Infant Death Register?. (Thesis). University College Cork. Retrieved from http://hdl.handle.net/10468/10874

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Mernagh, Andrew. “The Irish Sudden Infant Death Association: what type of interest group is it, and how did it contribute to the establishment of the National Sudden Infant Death Register?.” 2019. Thesis, University College Cork. Accessed March 08, 2021. http://hdl.handle.net/10468/10874.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Mernagh, Andrew. “The Irish Sudden Infant Death Association: what type of interest group is it, and how did it contribute to the establishment of the National Sudden Infant Death Register?.” 2019. Web. 08 Mar 2021.

Vancouver:

Mernagh A. The Irish Sudden Infant Death Association: what type of interest group is it, and how did it contribute to the establishment of the National Sudden Infant Death Register?. [Internet] [Thesis]. University College Cork; 2019. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/10468/10874.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Mernagh A. The Irish Sudden Infant Death Association: what type of interest group is it, and how did it contribute to the establishment of the National Sudden Infant Death Register?. [Thesis]. University College Cork; 2019. Available from: http://hdl.handle.net/10468/10874

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Stellenbosch University

29. Weighill, Thomas. Bifibrational duality in non-abelian algebra and the theory of databases.

Degree: MSc, 2014, Stellenbosch University

URL: http://hdl.handle.net/10019.1/96125

►

ENGLISH ABSTRACT: In this thesis we develop a self-dual categorical approach to some topics in non-abelian algebra, which is based on replacing the framework of… (more)

▼

ENGLISH ABSTRACT: In this thesis we develop a self-dual categorical approach to some topics in non-abelian algebra, which is based on replacing the framework of a category with that of a category equipped with a functor to it. We also make some first steps towards a possible link between this theory and the theory of databases in computer science. Both of these theories are based around the study of Grothendieck bifibrations and their generalisations. The main results in this thesis concern correspondences between certain structures on a category which are relevant to the study of categories of non-abelian group-like structures, and functors over that category. An investigation of these correspondences leads to a system of dual axioms on a functor, which can be considered as a solution to the proposal of Mac Lane in his 1950 paper "Duality for Groups" that a self-dual setting for formulating and proving results for groups be found. The part of the thesis concerned with the theory of databases is based on a recent approach by Johnson and Rosebrugh to views of databases and the view update problem.

AFRIKAANSE OPSOMMING: In hierdie tesis word ’n self-duale kategoriese benadering tot verskeie onderwerpe in nie-abelse algebra ontwikkel, wat gebaseer is op die vervanging van die raamwerk van ’n kategorie met dié van ’n kategorie saam met ’n funktor tot die kategorie. Ons neem ook enkele eerste stappe in die rigting van ’n skakel tussen hierdie teorie and die teorie van databasisse in rekenaarwetenskap. Beide hierdie teorieë is gebaseer op die studie van Grothendieck bifibrasies en hul veralgemenings. Die hoof resultate in hierdie tesis het betrekking tot ooreenkomste tussen sekere strukture op ’n kategorie wat relevant tot die studie van nie-abelse groep-agtige strukture is, en funktore oor daardie kategorie. ’n Verdere ondersoek van hierdie ooreemkomste lei tot ’n sisteem van duale aksiomas op ’n funktor, wat beskou kan word as ’n oplossing tot die voorstel van Mac Lane in sy 1950 artikel “Duality for Groups” dat ’n self-duale konteks gevind word waarin resultate vir groepe geformuleer en bewys kan word. Die deel van hierdie tesis wat met die teorie van databasisse te doen het is gebaseer op ’n onlangse benadering deur Johnson en Rosebrugh tot aansigte van databasisse en die opdatering van hierdie aansigte.

Advisors/Committee Members: Janelidze, Zurab, Stellenbosch University. Faculty of Science. Department of Mathematical Sciences..

Subjects/Keywords: Mathematics; Grothendieck groups; Non-Abelian groups

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APA (6^th Edition):

Weighill, T. (2014). Bifibrational duality in non-abelian algebra and the theory of databases. (Masters Thesis). Stellenbosch University. Retrieved from http://hdl.handle.net/10019.1/96125

Chicago Manual of Style (16^th Edition):

Weighill, Thomas. “Bifibrational duality in non-abelian algebra and the theory of databases.” 2014. Masters Thesis, Stellenbosch University. Accessed March 08, 2021. http://hdl.handle.net/10019.1/96125.

MLA Handbook (7^th Edition):

Weighill, Thomas. “Bifibrational duality in non-abelian algebra and the theory of databases.” 2014. Web. 08 Mar 2021.

Vancouver:

Weighill T. Bifibrational duality in non-abelian algebra and the theory of databases. [Internet] [Masters thesis]. Stellenbosch University; 2014. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/10019.1/96125.

Council of Science Editors:

Weighill T. Bifibrational duality in non-abelian algebra and the theory of databases. [Masters Thesis]. Stellenbosch University; 2014. Available from: http://hdl.handle.net/10019.1/96125

Texas A&M University

30. Kravchenko, Rostyslav. Measure Theory of Self-Similar Groups and Digit Tiles.

Degree: PhD, Mathematics, 2011, Texas A&M University

URL: http://hdl.handle.net/1969.1/ETD-TAMU-2010-12-8848

► This dissertation is devoted to the measure theoretical aspects of the theory of automata and groups generated by them. It consists of two main parts.… (more)

▼ This dissertation is devoted to the measure theoretical aspects of the theory of automata and groups generated by them. It consists of two main parts. In the first part we study the action of automata on Bernoulli measures. We describe how a finite-state automorphism of a regular rooted tree changes the Bernoulli measure on the boundary of the tree. It turns out, that a finite-state automorphism of polynomial growth, as defined by Sidki, preserves a measure class of a Bernoulli measure, and we write down the explicit formula for its Radon-Nikodim derivative. On the other hand the image of the Bernoulli measure under the action of a strongly connected finite-state automorphism is singular to the measure itself. The second part is devoted to introduction of measure into the theory of limit spaces of Nekrashevysh. Let G be a group and φ : H → G be a contracting homomorphism from a subgroup H < G of finite index. Nekrashevych associated with the pair (G, φ) the limit dynamical system (JG, s) and the limit G-space XG together with the covering ∪g∈GT · g by the tile T. We develop the theory of selfsimilar measures m on these limit spaces. It is shown that (JG, s,m) is conjugate to the one-sided Bernoulli shift. Using sofic subshifts we prove that the tile T has integer measure and we give an algorithmic way to compute it. In addition we give an algorithm to find the measure of the intersection of tiles T ∩ (T · g) for g ∈ G. We present applications to the evaluation of the Lebesgue measure of integral self-affine tiles. Previously the main tools in the theory of self-similar fractals were tools from measure theory and analysis. The methods developed in this disseration provide a new way to investigate self-similar and self-affine fractals, using combinatorics and group theory. Advisors/Committee Members: Pisier, Gilles (advisor), Grigorchuk, Rostislav (committee member), Nekrashevych, Volodymyr (committee member), Dahm, Frederick P. (committee member).

Subjects/Keywords: self-similar groups; digit tiles; contractive groups

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APA (6^th Edition):

Kravchenko, R. (2011). Measure Theory of Self-Similar Groups and Digit Tiles. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/ETD-TAMU-2010-12-8848

Chicago Manual of Style (16^th Edition):

Kravchenko, Rostyslav. “Measure Theory of Self-Similar Groups and Digit Tiles.” 2011. Doctoral Dissertation, Texas A&M University. Accessed March 08, 2021. http://hdl.handle.net/1969.1/ETD-TAMU-2010-12-8848.

MLA Handbook (7^th Edition):

Kravchenko, Rostyslav. “Measure Theory of Self-Similar Groups and Digit Tiles.” 2011. Web. 08 Mar 2021.

Vancouver:

Kravchenko R. Measure Theory of Self-Similar Groups and Digit Tiles. [Internet] [Doctoral dissertation]. Texas A&M University; 2011. [cited 2021 Mar 08]. Available from: http://hdl.handle.net/1969.1/ETD-TAMU-2010-12-8848.

Council of Science Editors:

Kravchenko R. Measure Theory of Self-Similar Groups and Digit Tiles. [Doctoral Dissertation]. Texas A&M University; 2011. Available from: http://hdl.handle.net/1969.1/ETD-TAMU-2010-12-8848

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Open Access Theses and Dissertations