subject:( Lattice theory )

Rutgers University

1. Borda, Bence, 1985-. The number of lattice points in irrational polytopes.

Degree: PhD, Mathematics, 2016, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/49916/

►

The discrepancy | t P ∩ Z^d | - lambda (P) t^d is studied as a function of the real variable t>1, where P is… (more)

Subjects/Keywords: Lattice theory; Polytopes

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APA (6^th Edition):

Borda, Bence, 1. (2016). The number of lattice points in irrational polytopes. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/49916/

Chicago Manual of Style (16^th Edition):

Borda, Bence, 1985-. “The number of lattice points in irrational polytopes.” 2016. Doctoral Dissertation, Rutgers University. Accessed January 21, 2021. https://rucore.libraries.rutgers.edu/rutgers-lib/49916/.

MLA Handbook (7^th Edition):

Borda, Bence, 1985-. “The number of lattice points in irrational polytopes.” 2016. Web. 21 Jan 2021.

Vancouver:

Borda, Bence 1. The number of lattice points in irrational polytopes. [Internet] [Doctoral dissertation]. Rutgers University; 2016. [cited 2021 Jan 21]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/49916/.

Council of Science Editors:

Borda, Bence 1. The number of lattice points in irrational polytopes. [Doctoral Dissertation]. Rutgers University; 2016. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/49916/

University of Johannesburg

2. Berger, Amelie Julie. Minimal reducible bounds, forbidden subgraphs and prime ideals in the lattice of additive hereditary graph properties.

Degree: PhD, 2012, University of Johannesburg

URL: http://hdl.handle.net/10210/4277

► After giving basic definitions concerning additive hereditary properties of graphs, this document is divided into three main sections, concerning minimal reducible bounds, minimal forbidden subgraphs… (more)

Subjects/Keywords: Graph theory; Lattice theory

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APA (6^th Edition):

Berger, A. J. (2012). Minimal reducible bounds, forbidden subgraphs and prime ideals in the lattice of additive hereditary graph properties. (Doctoral Dissertation). University of Johannesburg. Retrieved from http://hdl.handle.net/10210/4277

Chicago Manual of Style (16^th Edition):

Berger, Amelie Julie. “Minimal reducible bounds, forbidden subgraphs and prime ideals in the lattice of additive hereditary graph properties.” 2012. Doctoral Dissertation, University of Johannesburg. Accessed January 21, 2021. http://hdl.handle.net/10210/4277.

MLA Handbook (7^th Edition):

Berger, Amelie Julie. “Minimal reducible bounds, forbidden subgraphs and prime ideals in the lattice of additive hereditary graph properties.” 2012. Web. 21 Jan 2021.

Vancouver:

Berger AJ. Minimal reducible bounds, forbidden subgraphs and prime ideals in the lattice of additive hereditary graph properties. [Internet] [Doctoral dissertation]. University of Johannesburg; 2012. [cited 2021 Jan 21]. Available from: http://hdl.handle.net/10210/4277.

Council of Science Editors:

Berger AJ. Minimal reducible bounds, forbidden subgraphs and prime ideals in the lattice of additive hereditary graph properties. [Doctoral Dissertation]. University of Johannesburg; 2012. Available from: http://hdl.handle.net/10210/4277

Oregon State University

3. Zhang, Zhongming. SU(2) tetrahedron flux distribution few body effect in lattice QCD.

Degree: PhD, Physics, 2000, Oregon State University

URL: http://hdl.handle.net/1957/32582

► We study the four-quark interaction as a first step in understanding the QCD origin of the nuclear force in nature. We simulate QCD on a… (more)

Subjects/Keywords: Lattice theory

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APA (6^th Edition):

Zhang, Z. (2000). SU(2) tetrahedron flux distribution few body effect in lattice QCD. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/32582

Chicago Manual of Style (16^th Edition):

Zhang, Zhongming. “SU(2) tetrahedron flux distribution few body effect in lattice QCD.” 2000. Doctoral Dissertation, Oregon State University. Accessed January 21, 2021. http://hdl.handle.net/1957/32582.

MLA Handbook (7^th Edition):

Zhang, Zhongming. “SU(2) tetrahedron flux distribution few body effect in lattice QCD.” 2000. Web. 21 Jan 2021.

Vancouver:

Zhang Z. SU(2) tetrahedron flux distribution few body effect in lattice QCD. [Internet] [Doctoral dissertation]. Oregon State University; 2000. [cited 2021 Jan 21]. Available from: http://hdl.handle.net/1957/32582.

Council of Science Editors:

Zhang Z. SU(2) tetrahedron flux distribution few body effect in lattice QCD. [Doctoral Dissertation]. Oregon State University; 2000. Available from: http://hdl.handle.net/1957/32582

Rhodes University

4. Craig, Andrew Philip Knott. Lattice-valued uniform convergence spaces the case of enriched lattices.

Degree: MS, Faculty of Science, Mathematics, 2008, Rhodes University

URL: http://hdl.handle.net/10962/d1005225

► Using a pseudo-bisymmetric enriched cl-premonoid as the underlying lattice, we examine different categories of lattice-valued spaces. Lattice-valued topological spaces, uniform spaces and limit spaces are… (more)

Subjects/Keywords: Lattice theory; Uniform spaces; Convergence

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APA (6^th Edition):

Craig, A. P. K. (2008). Lattice-valued uniform convergence spaces the case of enriched lattices. (Masters Thesis). Rhodes University. Retrieved from http://hdl.handle.net/10962/d1005225

Chicago Manual of Style (16^th Edition):

Craig, Andrew Philip Knott. “Lattice-valued uniform convergence spaces the case of enriched lattices.” 2008. Masters Thesis, Rhodes University. Accessed January 21, 2021. http://hdl.handle.net/10962/d1005225.

MLA Handbook (7^th Edition):

Craig, Andrew Philip Knott. “Lattice-valued uniform convergence spaces the case of enriched lattices.” 2008. Web. 21 Jan 2021.

Vancouver:

Craig APK. Lattice-valued uniform convergence spaces the case of enriched lattices. [Internet] [Masters thesis]. Rhodes University; 2008. [cited 2021 Jan 21]. Available from: http://hdl.handle.net/10962/d1005225.

Council of Science Editors:

Craig APK. Lattice-valued uniform convergence spaces the case of enriched lattices. [Masters Thesis]. Rhodes University; 2008. Available from: http://hdl.handle.net/10962/d1005225

Oregon State University

5. Andrews, George E., 1938-. Lattice point on the boundary of convex bodies.

Degree: MA, Mathematics, 1960, Oregon State University

URL: http://hdl.handle.net/1957/49952

Subjects/Keywords: Lattice theory

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APA (6^th Edition):

Andrews, George E., 1. (1960). Lattice point on the boundary of convex bodies. (Masters Thesis). Oregon State University. Retrieved from http://hdl.handle.net/1957/49952

Chicago Manual of Style (16^th Edition):

Andrews, George E., 1938-. “Lattice point on the boundary of convex bodies.” 1960. Masters Thesis, Oregon State University. Accessed January 21, 2021. http://hdl.handle.net/1957/49952.

MLA Handbook (7^th Edition):

Andrews, George E., 1938-. “Lattice point on the boundary of convex bodies.” 1960. Web. 21 Jan 2021.

Vancouver:

Andrews, George E. 1. Lattice point on the boundary of convex bodies. [Internet] [Masters thesis]. Oregon State University; 1960. [cited 2021 Jan 21]. Available from: http://hdl.handle.net/1957/49952.

Council of Science Editors:

Andrews, George E. 1. Lattice point on the boundary of convex bodies. [Masters Thesis]. Oregon State University; 1960. Available from: http://hdl.handle.net/1957/49952

6. Monahan, Christopher John. The application of automated perturbation theory to lattice QCD.

Degree: PhD, 2011, University of Cambridge

URL: http://www.dspace.cam.ac.uk/handle/1810/241041https://www.repository.cam.ac.uk/bitstream/1810/241041/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241041/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241041/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241041/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/7/thesis.pdf.jpg

► Predictions of heavy quark parameters are an integral component of precision tests of the Standard Model of particle physics. Experimental measurements of electroweak processes involving… (more)

▼ Predictions of heavy quark parameters are an integral component of precision tests of the Standard Model of particle physics. Experimental measurements of electroweak processes involving heavy hadrons provide stringent tests of Cabibbo-Kobayashi-Maskawa (CKM) matrix unitarity and serve as a probe of new physics. Hadronic matrix elements parameterise the strong dynamics of these interactions and these matrix elements must be calculated nonperturbatively. Lattice quantum chromodynamics (QCD) provides the framework for nonperturbative calculations of QCD processes. Current lattices are too coarse to directly simulate b quarks. Therefore an effective theory, nonrelativistic QCD (NRQCD), is used to discretise the heavy quarks. High precision simulations are required so systematic uncertainties are removed by improving the NRQCD action. Precise simulations also require improved sea quark actions, such as the highly-improved staggered quark (HISQ) action. The renormalisation parameters of these actions cannot be feasibly determined by hand and thus automated procedures have been developed. In this dissertation I apply automated lattice pertubartion theory to a number of heavy quark calculations. I first review the fundamentals of lattice QCD and the construction of lattice NRQCD. I then motivate and discuss lattice perturbation theory in detail, focussing on the tools and techniques that I use in this dissertation. I calculate the two-loop tadpole improvement factors for improved gluons with improved light quarks. I then compute the renormalisation parameters of NRQCD. I use a mix of analytic and numerical methods to extract the one-loop radiative corrections to the higher order kinetic operators in the NRQCD action. I then employ a fully automated procedure to calculate the heavy quark energy shift at two-loops. I use this result to extract a new prediction of the mass of the b quark from lattice NRQCD simulations by the HPQCD collaboration. I also review the calculation of the radiative corrections to the chromo-magnetic operator in the NRQCD action. This computation is the first outcome of our implementation of background field gauge for automated lattice perturbation theory. Finally, I calculate the heavy-light currents for highly-improved NRQCD heavy quarks with massless HISQ light quarks and discuss the application of these results to nonperturbative studies by the HPQCD collaboration.

Subjects/Keywords: Lattice QCD; NRQCD; Perturbation theory

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APA (6^th Edition):

Monahan, C. J. (2011). The application of automated perturbation theory to lattice QCD. (Doctoral Dissertation). University of Cambridge. Retrieved from http://www.dspace.cam.ac.uk/handle/1810/241041https://www.repository.cam.ac.uk/bitstream/1810/241041/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241041/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241041/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241041/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/7/thesis.pdf.jpg

Chicago Manual of Style (16^th Edition):

Monahan, Christopher John. “The application of automated perturbation theory to lattice QCD.” 2011. Doctoral Dissertation, University of Cambridge. Accessed January 21, 2021. http://www.dspace.cam.ac.uk/handle/1810/241041https://www.repository.cam.ac.uk/bitstream/1810/241041/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241041/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241041/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241041/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/7/thesis.pdf.jpg.

MLA Handbook (7^th Edition):

Monahan, Christopher John. “The application of automated perturbation theory to lattice QCD.” 2011. Web. 21 Jan 2021.

Vancouver:

Monahan CJ. The application of automated perturbation theory to lattice QCD. [Internet] [Doctoral dissertation]. University of Cambridge; 2011. [cited 2021 Jan 21]. Available from: http://www.dspace.cam.ac.uk/handle/1810/241041https://www.repository.cam.ac.uk/bitstream/1810/241041/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241041/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241041/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241041/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/7/thesis.pdf.jpg.

Council of Science Editors:

Monahan CJ. The application of automated perturbation theory to lattice QCD. [Doctoral Dissertation]. University of Cambridge; 2011. Available from: http://www.dspace.cam.ac.uk/handle/1810/241041https://www.repository.cam.ac.uk/bitstream/1810/241041/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241041/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241041/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241041/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/7/thesis.pdf.jpg

University of Adelaide

7. Low, Lewis. Some lattice point problems.

Degree: 1978, University of Adelaide

URL: http://hdl.handle.net/2440/20203

Subjects/Keywords: Lattice theory.

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APA (6^th Edition):

Low, L. (1978). Some lattice point problems. (Thesis). University of Adelaide. Retrieved from http://hdl.handle.net/2440/20203

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):

Low, Lewis. “Some lattice point problems.” 1978. Thesis, University of Adelaide. Accessed January 21, 2021. http://hdl.handle.net/2440/20203.

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

MLA Handbook (7^th Edition):

Low, Lewis. “Some lattice point problems.” 1978. Web. 21 Jan 2021.

Vancouver:

Low L. Some lattice point problems. [Internet] [Thesis]. University of Adelaide; 1978. [cited 2021 Jan 21]. Available from: http://hdl.handle.net/2440/20203.

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

Council of Science Editors:

Low L. Some lattice point problems. [Thesis]. University of Adelaide; 1978. Available from: http://hdl.handle.net/2440/20203

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

Michigan State University

8. Lapidus, Leo. Lattice metrized spaces.

Degree: PhD, 1956, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:5421

Subjects/Keywords: Lattice theory

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APA (6^th Edition):

Lapidus, L. (1956). Lattice metrized spaces. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:5421

Chicago Manual of Style (16^th Edition):

Lapidus, Leo. “Lattice metrized spaces.” 1956. Doctoral Dissertation, Michigan State University. Accessed January 21, 2021. http://etd.lib.msu.edu/islandora/object/etd:5421.

MLA Handbook (7^th Edition):

Lapidus, Leo. “Lattice metrized spaces.” 1956. Web. 21 Jan 2021.

Vancouver:

Lapidus L. Lattice metrized spaces. [Internet] [Doctoral dissertation]. Michigan State University; 1956. [cited 2021 Jan 21]. Available from: http://etd.lib.msu.edu/islandora/object/etd:5421.

Council of Science Editors:

Lapidus L. Lattice metrized spaces. [Doctoral Dissertation]. Michigan State University; 1956. Available from: http://etd.lib.msu.edu/islandora/object/etd:5421

9. Truett, Fayth Thompson. Sublattices of the lattice of topologies.

Degree: 1975, Texas Woman's University

URL: http://hdl.handle.net/11274/4241

Subjects/Keywords: Lattice theory

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APA (6^th Edition):

Truett, F. T. (1975). Sublattices of the lattice of topologies. (Thesis). Texas Woman's University. Retrieved from http://hdl.handle.net/11274/4241

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):

Truett, Fayth Thompson. “Sublattices of the lattice of topologies.” 1975. Thesis, Texas Woman's University. Accessed January 21, 2021. http://hdl.handle.net/11274/4241.

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

MLA Handbook (7^th Edition):

Truett, Fayth Thompson. “Sublattices of the lattice of topologies.” 1975. Web. 21 Jan 2021.

Vancouver:

Truett FT. Sublattices of the lattice of topologies. [Internet] [Thesis]. Texas Woman's University; 1975. [cited 2021 Jan 21]. Available from: http://hdl.handle.net/11274/4241.

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

Council of Science Editors:

Truett FT. Sublattices of the lattice of topologies. [Thesis]. Texas Woman's University; 1975. Available from: http://hdl.handle.net/11274/4241

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

Texas Tech University

10. Schelgunov, Raymond O. Lattice spectrum of the face-centered cubic lattice.

Degree: Physics, 1967, Texas Tech University

URL: http://hdl.handle.net/2346/9384

Subjects/Keywords: Lattice theory

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APA (6^th Edition):

Schelgunov, R. O. (1967). Lattice spectrum of the face-centered cubic lattice. (Thesis). Texas Tech University. Retrieved from http://hdl.handle.net/2346/9384

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):

Schelgunov, Raymond O. “Lattice spectrum of the face-centered cubic lattice.” 1967. Thesis, Texas Tech University. Accessed January 21, 2021. http://hdl.handle.net/2346/9384.

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

MLA Handbook (7^th Edition):

Schelgunov, Raymond O. “Lattice spectrum of the face-centered cubic lattice.” 1967. Web. 21 Jan 2021.

Vancouver:

Schelgunov RO. Lattice spectrum of the face-centered cubic lattice. [Internet] [Thesis]. Texas Tech University; 1967. [cited 2021 Jan 21]. Available from: http://hdl.handle.net/2346/9384.

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

Council of Science Editors:

Schelgunov RO. Lattice spectrum of the face-centered cubic lattice. [Thesis]. Texas Tech University; 1967. Available from: http://hdl.handle.net/2346/9384

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

University of Montana

11. Chung, Han-ping. Statistical mechanical approximation method for the hard sphere lattice gas on a triangular lattice.

Degree: MS, 1972, University of Montana

URL: https://scholarworks.umt.edu/etd/8373

Subjects/Keywords: Lattice theory.

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APA (6^th Edition):

Chung, H. (1972). Statistical mechanical approximation method for the hard sphere lattice gas on a triangular lattice. (Masters Thesis). University of Montana. Retrieved from https://scholarworks.umt.edu/etd/8373

Chicago Manual of Style (16^th Edition):

Chung, Han-ping. “Statistical mechanical approximation method for the hard sphere lattice gas on a triangular lattice.” 1972. Masters Thesis, University of Montana. Accessed January 21, 2021. https://scholarworks.umt.edu/etd/8373.

MLA Handbook (7^th Edition):

Chung, Han-ping. “Statistical mechanical approximation method for the hard sphere lattice gas on a triangular lattice.” 1972. Web. 21 Jan 2021.

Vancouver:

Chung H. Statistical mechanical approximation method for the hard sphere lattice gas on a triangular lattice. [Internet] [Masters thesis]. University of Montana; 1972. [cited 2021 Jan 21]. Available from: https://scholarworks.umt.edu/etd/8373.

Council of Science Editors:

Chung H. Statistical mechanical approximation method for the hard sphere lattice gas on a triangular lattice. [Masters Thesis]. University of Montana; 1972. Available from: https://scholarworks.umt.edu/etd/8373

University of Texas – Austin

12. Martinsson, Per-Gunnar Johan. Fast multiscale methods for lattice equations.

Degree: PhD, Computational and Applied Mathematics, 2002, University of Texas – Austin

URL: http://hdl.handle.net/2152/758

► The thesis concerns multi-scale analysis of equations defined on very large lattices. A new method for model reduction that allows the resolution scale to vary… (more)

Subjects/Keywords: Lattice theory

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APA (6^th Edition):

Martinsson, P. J. (2002). Fast multiscale methods for lattice equations. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/758

Chicago Manual of Style (16^th Edition):

Martinsson, Per-Gunnar Johan. “Fast multiscale methods for lattice equations.” 2002. Doctoral Dissertation, University of Texas – Austin. Accessed January 21, 2021. http://hdl.handle.net/2152/758.

MLA Handbook (7^th Edition):

Martinsson, Per-Gunnar Johan. “Fast multiscale methods for lattice equations.” 2002. Web. 21 Jan 2021.

Vancouver:

Martinsson PJ. Fast multiscale methods for lattice equations. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2002. [cited 2021 Jan 21]. Available from: http://hdl.handle.net/2152/758.

Council of Science Editors:

Martinsson PJ. Fast multiscale methods for lattice equations. [Doctoral Dissertation]. University of Texas – Austin; 2002. Available from: http://hdl.handle.net/2152/758

Simon Fraser University

13. Springer, H. Jean. The representation of a lattice-ordered group as a group of automorphisms. – .

Degree: 1969, Simon Fraser University

URL: http://summit.sfu.ca/item/4181

Subjects/Keywords: Lattice theory.

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APA (6^th Edition):

Springer, H. J. (1969). The representation of a lattice-ordered group as a group of automorphisms. – . (Thesis). Simon Fraser University. Retrieved from http://summit.sfu.ca/item/4181

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):

Springer, H Jean. “The representation of a lattice-ordered group as a group of automorphisms. – .” 1969. Thesis, Simon Fraser University. Accessed January 21, 2021. http://summit.sfu.ca/item/4181.

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

MLA Handbook (7^th Edition):

Springer, H Jean. “The representation of a lattice-ordered group as a group of automorphisms. – .” 1969. Web. 21 Jan 2021.

Vancouver:

Springer HJ. The representation of a lattice-ordered group as a group of automorphisms. – . [Internet] [Thesis]. Simon Fraser University; 1969. [cited 2021 Jan 21]. Available from: http://summit.sfu.ca/item/4181.

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

Council of Science Editors:

Springer HJ. The representation of a lattice-ordered group as a group of automorphisms. – . [Thesis]. Simon Fraser University; 1969. Available from: http://summit.sfu.ca/item/4181

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

Simon Fraser University

14. Tang, Kung Hai. A study of Holland representation theorem and free lattice-ordered groups. – .

Degree: 1972, Simon Fraser University

URL: http://summit.sfu.ca/item/4183

Subjects/Keywords: Lattice theory.

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APA (6^th Edition):

Tang, K. H. (1972). A study of Holland representation theorem and free lattice-ordered groups. – . (Thesis). Simon Fraser University. Retrieved from http://summit.sfu.ca/item/4183

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):

Tang, Kung Hai. “A study of Holland representation theorem and free lattice-ordered groups. – .” 1972. Thesis, Simon Fraser University. Accessed January 21, 2021. http://summit.sfu.ca/item/4183.

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

MLA Handbook (7^th Edition):

Tang, Kung Hai. “A study of Holland representation theorem and free lattice-ordered groups. – .” 1972. Web. 21 Jan 2021.

Vancouver:

Tang KH. A study of Holland representation theorem and free lattice-ordered groups. – . [Internet] [Thesis]. Simon Fraser University; 1972. [cited 2021 Jan 21]. Available from: http://summit.sfu.ca/item/4183.

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

Council of Science Editors:

Tang KH. A study of Holland representation theorem and free lattice-ordered groups. – . [Thesis]. Simon Fraser University; 1972. Available from: http://summit.sfu.ca/item/4183

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

Simon Fraser University

15. Gaskill, Herbert S. Some results on transferability in lattices and semilattices. – .

Degree: 1972, Simon Fraser University

URL: http://summit.sfu.ca/item/4184

Subjects/Keywords: Lattice theory.

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APA (6^th Edition):

Gaskill, H. S. (1972). Some results on transferability in lattices and semilattices. – . (Thesis). Simon Fraser University. Retrieved from http://summit.sfu.ca/item/4184

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):

Gaskill, Herbert S. “Some results on transferability in lattices and semilattices. – .” 1972. Thesis, Simon Fraser University. Accessed January 21, 2021. http://summit.sfu.ca/item/4184.

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

MLA Handbook (7^th Edition):

Gaskill, Herbert S. “Some results on transferability in lattices and semilattices. – .” 1972. Web. 21 Jan 2021.

Vancouver:

Gaskill HS. Some results on transferability in lattices and semilattices. – . [Internet] [Thesis]. Simon Fraser University; 1972. [cited 2021 Jan 21]. Available from: http://summit.sfu.ca/item/4184.

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

Council of Science Editors:

Gaskill HS. Some results on transferability in lattices and semilattices. – . [Thesis]. Simon Fraser University; 1972. Available from: http://summit.sfu.ca/item/4184

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

University of Cape Town

16. Jipsen, Peter. Varieties of lattices.

Degree: Image, Mathematics and Applied Mathematics, 1988, University of Cape Town

URL: http://hdl.handle.net/11427/15851

► An interesting problem in universal algebra is the connection between the internal structure of an algebra and the identities which it satisfies. The study of… (more)

Subjects/Keywords: Lattice theory

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APA (6^th Edition):

Jipsen, P. (1988). Varieties of lattices. (Thesis). University of Cape Town. Retrieved from http://hdl.handle.net/11427/15851

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):

Jipsen, Peter. “Varieties of lattices.” 1988. Thesis, University of Cape Town. Accessed January 21, 2021. http://hdl.handle.net/11427/15851.

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

MLA Handbook (7^th Edition):

Jipsen, Peter. “Varieties of lattices.” 1988. Web. 21 Jan 2021.

Vancouver:

Jipsen P. Varieties of lattices. [Internet] [Thesis]. University of Cape Town; 1988. [cited 2021 Jan 21]. Available from: http://hdl.handle.net/11427/15851.

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

Council of Science Editors:

Jipsen P. Varieties of lattices. [Thesis]. University of Cape Town; 1988. Available from: http://hdl.handle.net/11427/15851

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

17. Plick, Thomas A. Problems in extremal and combinatorial geometry.

Degree: 2012, Drexel University

URL: http://hdl.handle.net/1860/4005

►

This thesis deals with three families of optimization problems: (1) Euclidean optimization problems on random point sets; (2) independent sets in hypergraphs; and (3) packings… (more)

Subjects/Keywords: Computer science; Graph theory; Lattice theory

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APA (6^th Edition):

Plick, T. A. (2012). Problems in extremal and combinatorial geometry. (Thesis). Drexel University. Retrieved from http://hdl.handle.net/1860/4005

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):

Plick, Thomas A. “Problems in extremal and combinatorial geometry.” 2012. Thesis, Drexel University. Accessed January 21, 2021. http://hdl.handle.net/1860/4005.

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

MLA Handbook (7^th Edition):

Plick, Thomas A. “Problems in extremal and combinatorial geometry.” 2012. Web. 21 Jan 2021.

Vancouver:

Plick TA. Problems in extremal and combinatorial geometry. [Internet] [Thesis]. Drexel University; 2012. [cited 2021 Jan 21]. Available from: http://hdl.handle.net/1860/4005.

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

Council of Science Editors:

Plick TA. Problems in extremal and combinatorial geometry. [Thesis]. Drexel University; 2012. Available from: http://hdl.handle.net/1860/4005

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

NSYSU

18. Chuang, Yu-Lun. An Efficient Algorithm for the Shortest Vector Problem.

Degree: Master, Computer Science and Engineering, 2016, NSYSU

URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0729116-132326

► Lattice is widely used in cryptography since it has potential for defending quantum attacks. One of the significant problems in such cryptography is the shortest… (more)

Subjects/Keywords: Lattice; Algorithm Analysis; Optimization Theory; Lattice-Based Cryptography; Shortest Vector Problem

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APA (6^th Edition):

Chuang, Y. (2016). An Efficient Algorithm for the Shortest Vector Problem. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0729116-132326

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):

Chuang, Yu-Lun. “An Efficient Algorithm for the Shortest Vector Problem.” 2016. Thesis, NSYSU. Accessed January 21, 2021. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0729116-132326.

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

MLA Handbook (7^th Edition):

Chuang, Yu-Lun. “An Efficient Algorithm for the Shortest Vector Problem.” 2016. Web. 21 Jan 2021.

Vancouver:

Chuang Y. An Efficient Algorithm for the Shortest Vector Problem. [Internet] [Thesis]. NSYSU; 2016. [cited 2021 Jan 21]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0729116-132326.

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

Council of Science Editors:

Chuang Y. An Efficient Algorithm for the Shortest Vector Problem. [Thesis]. NSYSU; 2016. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0729116-132326

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

University of Wollongong

19. Zhang, Zhenfei. Revisiting fully homomorphic encryption schemes and their cryptographic primitives.

Degree: Doctor of Philosophy, 2014, University of Wollongong

URL: ; https://ro.uow.edu.au/theses/4028

► Lattice-based cryptography plays an important role in modern cryptography. Apart from being a perfect alternative of classic public key cryptosystems, should the quantum computers… (more)

Subjects/Keywords: cryptography; lattice theory; fully homomorphic encryption; lattice reduction

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APA (6^th Edition):

Zhang, Z. (2014). Revisiting fully homomorphic encryption schemes and their cryptographic primitives. (Doctoral Dissertation). University of Wollongong. Retrieved from ; https://ro.uow.edu.au/theses/4028

Chicago Manual of Style (16^th Edition):

Zhang, Zhenfei. “Revisiting fully homomorphic encryption schemes and their cryptographic primitives.” 2014. Doctoral Dissertation, University of Wollongong. Accessed January 21, 2021. ; https://ro.uow.edu.au/theses/4028.

MLA Handbook (7^th Edition):

Zhang, Zhenfei. “Revisiting fully homomorphic encryption schemes and their cryptographic primitives.” 2014. Web. 21 Jan 2021.

Vancouver:

Zhang Z. Revisiting fully homomorphic encryption schemes and their cryptographic primitives. [Internet] [Doctoral dissertation]. University of Wollongong; 2014. [cited 2021 Jan 21]. Available from: ; https://ro.uow.edu.au/theses/4028.

Council of Science Editors:

Zhang Z. Revisiting fully homomorphic encryption schemes and their cryptographic primitives. [Doctoral Dissertation]. University of Wollongong; 2014. Available from: ; https://ro.uow.edu.au/theses/4028

University of Cambridge

20. Cooper, Laurence. Weak decays of beautiful pseudoscalar mesons with Lattice Quantum Chromodynamics.

Degree: PhD, 2020, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/311278

► Weak decays of beautiful mesons can be used to probe the validity of our best model of particle physics: the Standard Model. In this thesis,… (more)

Subjects/Keywords: weak decays; B physics; hadrons; lattice gauge theory; particle physics; Quantum Field Theory; lattice QCD; quantum chromodynamics; lattice field theory; mesons

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

APA (6^th Edition):

Cooper, L. (2020). Weak decays of beautiful pseudoscalar mesons with Lattice Quantum Chromodynamics. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/311278

Chicago Manual of Style (16^th Edition):

Cooper, Laurence. “Weak decays of beautiful pseudoscalar mesons with Lattice Quantum Chromodynamics.” 2020. Doctoral Dissertation, University of Cambridge. Accessed January 21, 2021. https://www.repository.cam.ac.uk/handle/1810/311278.

MLA Handbook (7^th Edition):

Cooper, Laurence. “Weak decays of beautiful pseudoscalar mesons with Lattice Quantum Chromodynamics.” 2020. Web. 21 Jan 2021.

Vancouver:

Cooper L. Weak decays of beautiful pseudoscalar mesons with Lattice Quantum Chromodynamics. [Internet] [Doctoral dissertation]. University of Cambridge; 2020. [cited 2021 Jan 21]. Available from: https://www.repository.cam.ac.uk/handle/1810/311278.

Council of Science Editors:

Cooper L. Weak decays of beautiful pseudoscalar mesons with Lattice Quantum Chromodynamics. [Doctoral Dissertation]. University of Cambridge; 2020. Available from: https://www.repository.cam.ac.uk/handle/1810/311278

NSYSU

21. Lee, Chin-hsi. Investigating Integer Quantum Hall effect in KagomÃ© and star lattice by Yasuhiro Hatsugaiâs method.

Degree: Master, Physics, 2015, NSYSU

URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0604115-175715

► Since the single layer graphene are observed by Andre Geim and Konstantin Novoselov, the quantum phenomena emerging from graphene as attracted many physicistsâs attentions in… (more)

Subjects/Keywords: lattice field theory; Decorated honeycomb lattice; Topology; Star lattice; KagomÃ© lattice; Chern number; Quantum Hall effect

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APA (6^th Edition):

Lee, C. (2015). Investigating Integer Quantum Hall effect in KagomÃ© and star lattice by Yasuhiro Hatsugaiâs method. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0604115-175715

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):

Lee, Chin-hsi. “Investigating Integer Quantum Hall effect in KagomÃ© and star lattice by Yasuhiro Hatsugaiâs method.” 2015. Thesis, NSYSU. Accessed January 21, 2021. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0604115-175715.

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

MLA Handbook (7^th Edition):

Lee, Chin-hsi. “Investigating Integer Quantum Hall effect in KagomÃ© and star lattice by Yasuhiro Hatsugaiâs method.” 2015. Web. 21 Jan 2021.

Vancouver:

Lee C. Investigating Integer Quantum Hall effect in KagomÃ© and star lattice by Yasuhiro Hatsugaiâs method. [Internet] [Thesis]. NSYSU; 2015. [cited 2021 Jan 21]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0604115-175715.

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

Council of Science Editors:

Lee C. Investigating Integer Quantum Hall effect in KagomÃ© and star lattice by Yasuhiro Hatsugaiâs method. [Thesis]. NSYSU; 2015. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0604115-175715

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

Universidade Estadual de Campinas

22. Magalhães, Karina Mochetti de, 1982-. Lattice-based predicate encryption = Encriptação com predicados baseada em reticulados: Encriptação com predicados baseada em reticulados.

Degree: 2014, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/275543

► Abstract: In a functional encryption system, an authority holding a master secret key can generate a key that enables the computation of some function on… (more)

▼ Abstract: In a functional encryption system, an authority holding a master secret key can generate a key that enables the computation of some function on the encrypted data. Then, using the secret key the decryptor can compute the function from the ciphertext. Important examples of functional encryption are Identity-Based Encryption, Attribute-Based Encryption, Inner Product Encryption, Fuzzy Identity-Based Encryption, Hidden Vector Encryption, Certificate-Based Encryption, Public Key Encryption with Keyword Search and Identity-Based Encryption with Wildcards. Predicate encryption schemes are a specialization of functional encryption schemes, in which the function does not give information of the plaintext, but it determines whether the decryption should or should not work properly. Lattice-Based Cryptography is an important alternative to the main cryptographic systems used today, since they are conjectured to be secure against quantum algorithms. Shor's algorithm is capable of solving the Integer Factorization Problem and the Discrete Logarithm Problem in polynomial time on a quantum computer, breaking the most used and important cryptosystems such as RSA, Diffie-Hellman and Elliptic Curve Cryptography. In this work we focus on Lattice-Based Predicate Encryption. We study and describe the main lattice-based schemes found in the literature, extending them to hierarchical versions and showing how the use of ideal lattice affects their security proof. For each scheme, a formal proof of security is detailed, analyses of complexity and variable's size are shown and the parameter's choice ensuring that the decryption works correctly is given Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Dahab, Ricardo, 1957- (advisor), Abdalla, Michel (coadvisor), Universidade Estadual de Campinas. Instituto de Computação (institution), Programa de Pós-Graduação em Ciência da Computação (nameofprogram), Terada, Routo (committee member), Aragão, Marcus Vinicius Soledade Poggi de (committee member), Aranha, Diego de Freitas (committee member), Costa, Sueli Irene Rodrigues (committee member).

Subjects/Keywords: Criptografia; Teoria dos reticulados; Cryptography; Lattice theory

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APA (6^th Edition):

Magalhães, Karina Mochetti de, 1. (2014). Lattice-based predicate encryption = Encriptação com predicados baseada em reticulados: Encriptação com predicados baseada em reticulados. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/275543

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):

Magalhães, Karina Mochetti de, 1982-. “Lattice-based predicate encryption = Encriptação com predicados baseada em reticulados: Encriptação com predicados baseada em reticulados.” 2014. Thesis, Universidade Estadual de Campinas. Accessed January 21, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/275543.

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

MLA Handbook (7^th Edition):

Magalhães, Karina Mochetti de, 1982-. “Lattice-based predicate encryption = Encriptação com predicados baseada em reticulados: Encriptação com predicados baseada em reticulados.” 2014. Web. 21 Jan 2021.

Vancouver:

Magalhães, Karina Mochetti de 1. Lattice-based predicate encryption = Encriptação com predicados baseada em reticulados: Encriptação com predicados baseada em reticulados. [Internet] [Thesis]. Universidade Estadual de Campinas; 2014. [cited 2021 Jan 21]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/275543.

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

Council of Science Editors:

Magalhães, Karina Mochetti de 1. Lattice-based predicate encryption = Encriptação com predicados baseada em reticulados: Encriptação com predicados baseada em reticulados. [Thesis]. Universidade Estadual de Campinas; 2014. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/275543

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

University of Delaware

23. Rauh, Andre. Fast algorithms for selection and multidimensional sparse Fourier transform.

Degree: PhD, University of Delaware, Department of Electrical and Computer Engineering, 2015, University of Delaware

URL: http://udspace.udel.edu/handle/19716/17513

► In recent years, many applications throughout engineering, science, and finance have been faced with the analysis of massive amounts of data. This dissertation focuses on… (more)

▼ In recent years, many applications throughout engineering, science, and finance have been faced with the analysis of massive amounts of data. This dissertation focuses on two algorithms ubiquitous in data analysis, with the goal of making them efficient in “big data” scenarios. First, the selection problem also known as finding the order statistic of data is addressed. In particular, a fast weighted median (WM) algorithm, which is a more general problem than selection, is derived. The new algorithm computes the WM of N samples which has linear time and space complexity as opposed to O(N logN) which is the time complexity of traditional sorting algorithms. A popular selection algorithm often used to find the WM in large data sets is Quickselect whose performance is highly dependent on how the pivots are chosen. The new algorithm introduces an optimization based pivot selection strategy which results in significantly improved performance as well as a more consistent runtime compared to traditional approaches. In particular, the selected pivots are order statistics of subsets of the input data. In order to find the optimal order statistics as well as the optimal subset sizes, a set of cost functions are derived, which when minimized lead to optimal design parameters. The complexity is compared to Floyd and Rivest’s algorithm SELECT which to date has been the fastest median algorithm and it is shown that the proposed algorithm requires 30% fewer comparisons. It is also shown that the proposed selection algorithm is asymptotically optimal for large N. The second algorithm developed in this dissertation extends the concepts of the Sparse Fast Fourier Transform (sFFT) Algorithm introduced in 2012, to work with multidimensional input data. The multidimensional algorithm requires several generalizations to multiple key concepts of the 1D sparse Fourier transform algorithm. It is shown that the permutation parameter is of key importance and should not be chosen randomly but instead can be optimized for the reconstruction of sparse real world data. A connection is made between key steps of the algorithm and lattice theory, thus establishing a rigorous understanding of the effect of the permutation parameter on the algorithm performance. Lattice theory is then used to optimize the set of parameters to achieve a more robust and better performing algorithm. The result improves the algorithm without penalty on sampling complexity. In fact other algorithms which use pseudorandom spectrum permutation can also benefit from this finding. This dissertation addresses the case of the exact k-sparse Fourier transform but the underlying concepts can be applied to the general case of finding a k-sparse approximation of the Fourier transform of an arbitrary signal. Simulations illustrate the efficiency and accuracy of the proposed algorithm. The optimizations of the parameters and the improvements therewith are shown in simulations in such that the worst case and average case PSNR improves by several dB. Advisors/Committee Members: Arce, Gonzalo R..

Subjects/Keywords: Fourier transformations.; Algorithms.; Big data.; Lattice theory.

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APA (6^th Edition):

Rauh, A. (2015). Fast algorithms for selection and multidimensional sparse Fourier transform. (Doctoral Dissertation). University of Delaware. Retrieved from http://udspace.udel.edu/handle/19716/17513

Chicago Manual of Style (16^th Edition):

Rauh, Andre. “Fast algorithms for selection and multidimensional sparse Fourier transform.” 2015. Doctoral Dissertation, University of Delaware. Accessed January 21, 2021. http://udspace.udel.edu/handle/19716/17513.

MLA Handbook (7^th Edition):

Rauh, Andre. “Fast algorithms for selection and multidimensional sparse Fourier transform.” 2015. Web. 21 Jan 2021.

Vancouver:

Rauh A. Fast algorithms for selection and multidimensional sparse Fourier transform. [Internet] [Doctoral dissertation]. University of Delaware; 2015. [cited 2021 Jan 21]. Available from: http://udspace.udel.edu/handle/19716/17513.

Council of Science Editors:

Rauh A. Fast algorithms for selection and multidimensional sparse Fourier transform. [Doctoral Dissertation]. University of Delaware; 2015. Available from: http://udspace.udel.edu/handle/19716/17513

University of Adelaide

24. Hall, Jonathan Michael MacGillivray. Chiral effective field theory beyond the power-counting regime.

Degree: 2011, University of Adelaide

URL: http://hdl.handle.net/2440/70890

► Chiral effective field theory complements numerical simulations of quantum chromodynamics on a spacetime lattice. It provides a model-independent formalism for connecting lattice simulation results at… (more)

▼ Chiral effective field theory complements numerical simulations of quantum chromodynamics on a spacetime lattice. It provides a model-independent formalism for connecting lattice simulation results at finite volume, and at a variety of quark masses, to the physical region. Knowledge of the power-counting regime of chiral effective field theory, where higher-order terms of the expansion may be regarded as negligible, is as important as knowledge of the expansion. Through the consideration of a variety of renormalization schemes, techniques are established to identify the power-counting regime. Within the power-counting regime, the results of extrapolation are independent of the renormalization scheme. The nucleon mass is considered as a benchmark for illustrating this approach. Because the power-counting regime is small, the numerical simulation results are also examined to search for the possible presence of an optimal regularization scale, which may be used to describe lattice simulation results outside of the power-counting regime. Such an optimal regularization scale is found for the nucleon mass. The identification of an optimal scale, with its associated systematic uncertainty, measures the degree to which the lattice QCD simulation results extend beyond the power-counting regime, thus quantifying the scheme-dependence of an extrapolation. The techniques developed for the nucleon mass renormalization are applied to the quenched ρ meson mass, which offers a unique test case for extrapolation schemes. In the absence of a known experimental value, it serves to demonstrate the ability of the extrapolation scheme to make predictions without prior phenomenological bias. The robustness of the procedure for obtaining an optimal regularization scale and performing a reliable chiral extrapolation is confirmed. The procedure developed is then applied to the magnetic moment and the electric charge radius of the isovector nucleon, to obtain a consistent optimal regularization scale. The consistency of the results for the value of the optimal regularization scale provides strong evidence for the existence of an intrinsic energy scale for the nucleon-pion interaction. Advisors/Committee Members: Leinweber, Derek Bruce (advisor), School of Chemistry and Physics (school).

Subjects/Keywords: effective field theory; QCD; lattice QCD

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APA (6^th Edition):

Hall, J. M. M. (2011). Chiral effective field theory beyond the power-counting regime. (Thesis). University of Adelaide. Retrieved from http://hdl.handle.net/2440/70890

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):

Hall, Jonathan Michael MacGillivray. “Chiral effective field theory beyond the power-counting regime.” 2011. Thesis, University of Adelaide. Accessed January 21, 2021. http://hdl.handle.net/2440/70890.

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

MLA Handbook (7^th Edition):

Hall, Jonathan Michael MacGillivray. “Chiral effective field theory beyond the power-counting regime.” 2011. Web. 21 Jan 2021.

Vancouver:

Hall JMM. Chiral effective field theory beyond the power-counting regime. [Internet] [Thesis]. University of Adelaide; 2011. [cited 2021 Jan 21]. Available from: http://hdl.handle.net/2440/70890.

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

Council of Science Editors:

Hall JMM. Chiral effective field theory beyond the power-counting regime. [Thesis]. University of Adelaide; 2011. Available from: http://hdl.handle.net/2440/70890

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

University of Adelaide

25. Primer, Thomas James. Magnetic properties of the nucleon in a uniform background field.

Degree: 2013, University of Adelaide

URL: http://hdl.handle.net/2440/83782

► We present a calculation of the magnetic moment and magnetic polarisability of the nucleon. The calculation is performed using the background field method of lattice… (more)

Subjects/Keywords: lattice qcd; hadron structure; gauge field theory

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APA (6^th Edition):

Primer, T. J. (2013). Magnetic properties of the nucleon in a uniform background field. (Thesis). University of Adelaide. Retrieved from http://hdl.handle.net/2440/83782

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):

Primer, Thomas James. “Magnetic properties of the nucleon in a uniform background field.” 2013. Thesis, University of Adelaide. Accessed January 21, 2021. http://hdl.handle.net/2440/83782.

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

MLA Handbook (7^th Edition):

Primer, Thomas James. “Magnetic properties of the nucleon in a uniform background field.” 2013. Web. 21 Jan 2021.

Vancouver:

Primer TJ. Magnetic properties of the nucleon in a uniform background field. [Internet] [Thesis]. University of Adelaide; 2013. [cited 2021 Jan 21]. Available from: http://hdl.handle.net/2440/83782.

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

Council of Science Editors:

Primer TJ. Magnetic properties of the nucleon in a uniform background field. [Thesis]. University of Adelaide; 2013. Available from: http://hdl.handle.net/2440/83782

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

University of Adelaide

26. Trenerry, Dennis William. The covering of space by spheres.

Degree: 1972, University of Adelaide

URL: http://hdl.handle.net/2440/20433

Subjects/Keywords: Lattice theory; Cone

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

APA (6^th Edition):

Trenerry, D. W. (1972). The covering of space by spheres. (Thesis). University of Adelaide. Retrieved from http://hdl.handle.net/2440/20433

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):

Trenerry, Dennis William. “The covering of space by spheres.” 1972. Thesis, University of Adelaide. Accessed January 21, 2021. http://hdl.handle.net/2440/20433.

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

MLA Handbook (7^th Edition):

Trenerry, Dennis William. “The covering of space by spheres.” 1972. Web. 21 Jan 2021.

Vancouver:

Trenerry DW. The covering of space by spheres. [Internet] [Thesis]. University of Adelaide; 1972. [cited 2021 Jan 21]. Available from: http://hdl.handle.net/2440/20433.

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

Council of Science Editors:

Trenerry DW. The covering of space by spheres. [Thesis]. University of Adelaide; 1972. Available from: http://hdl.handle.net/2440/20433

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

Hong Kong University of Science and Technology

27. Yu, Ka Man. Lattice rotation and incommensurability of epitaxial graphene on transition metal surfaces.

Degree: 2013, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-63088 ; https://doi.org/10.14711/thesis-b1251143 ; http://repository.ust.hk/ir/bitstream/1783.1-63088/1/th_redirect.html

► The growth and defect structure of graphene (g) on Ru(0001) and Ir(111) surface is investigated using low energy electron microscopy (LEEM) and micro-low energy electron… (more)

▼ The growth and defect structure of graphene (g) on Ru(0001) and Ir(111) surface is investigated using low energy electron microscopy (LEEM) and micro-low energy electron diffraction (μLEED). The aim of this work is to gain a deeper understanding of the origin of small angle lattice rotations that were recently discovered in g/Ru(0001) by similar techniques and to explore if they are present on other metal substrate surfaces. Since small angle rotation domains may alter the electron properties of g/Ru(0001) from first principle calculation, it is also the goal to find growth conditions that produce more uniform graphene layer with high orientation uniformity. μLEED measurements from small a 250nm size areas and shadow dark-field (SDF) imaging, are used to characterize local rotation features in graphene grown by chemical vapor deposition with ethylene. In LEED mode, superstructure spots are is related to the moiré superlattice of graphene on metal surface, which has high sensitivity to the lattice rotation angle and lateral periodicity change in graphene. We find that the small angle rotation domain defect structure in g/Ru(0001) is diminished but cannot be completely eliminated using higher CVD growth temperature. However, uniformly oriented graphene can be grown by CVD if the crystal is first pre-loaded with C atoms by bulk segregation. Although the uniform rotation domain can be extended to 10 μm size, it is also found that the lateral periodicity within these uniformly oriented graphene varies considerably. A strain energy calculation using the Keating's model predicts a correlation between the corrugation and periodicity of graphene. In studies of g/Ir(111) using similar techniques, significant rotational disorder is observed in graphene that is nominally aligned with the Ir(111) substrate. On the other hand, graphene exhibits significantly better rotational uniformity with it is misaligned from the substrate by larger angles. μLEED measurements are used to record the relationship between the size of moiré superlattice and moiré rotation angle. Fitting this data with the known relationship is used to determine the graphene lattice constant. Interestingly, the data points are bounded by two sharp boundaries corresponding to two different lattice constants of graphene, which suggested that there may exist a spatial variation of lateral periodicity of graphene in this system as well. Compared to the small rotation domains in g/Ru(0001), which has fixed lateral periodicity of graphene, uniform rotation domain has variable lateral periodicities of graphene. This suggests that there is a correlation between small rotation angles and the periodicities of graphene. These finding may help to understand the controversies in corrugation and lateral periodicities of g/Ru(0001) system. The change oflateral periodicities found in g/Ir(111) can act as a further evidence that the graphene in graphene on metal substrates system in general has a certain range of lateral periodicities.

Subjects/Keywords: Lattice theory ; Graphene ; Transition metals ; Surfaces

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APA (6^th Edition):

Yu, K. M. (2013). Lattice rotation and incommensurability of epitaxial graphene on transition metal surfaces. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-63088 ; https://doi.org/10.14711/thesis-b1251143 ; http://repository.ust.hk/ir/bitstream/1783.1-63088/1/th_redirect.html

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):

Yu, Ka Man. “Lattice rotation and incommensurability of epitaxial graphene on transition metal surfaces.” 2013. Thesis, Hong Kong University of Science and Technology. Accessed January 21, 2021. http://repository.ust.hk/ir/Record/1783.1-63088 ; https://doi.org/10.14711/thesis-b1251143 ; http://repository.ust.hk/ir/bitstream/1783.1-63088/1/th_redirect.html.

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

MLA Handbook (7^th Edition):

Yu, Ka Man. “Lattice rotation and incommensurability of epitaxial graphene on transition metal surfaces.” 2013. Web. 21 Jan 2021.

Vancouver:

Yu KM. Lattice rotation and incommensurability of epitaxial graphene on transition metal surfaces. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2013. [cited 2021 Jan 21]. Available from: http://repository.ust.hk/ir/Record/1783.1-63088 ; https://doi.org/10.14711/thesis-b1251143 ; http://repository.ust.hk/ir/bitstream/1783.1-63088/1/th_redirect.html.

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

Council of Science Editors:

Yu KM. Lattice rotation and incommensurability of epitaxial graphene on transition metal surfaces. [Thesis]. Hong Kong University of Science and Technology; 2013. Available from: http://repository.ust.hk/ir/Record/1783.1-63088 ; https://doi.org/10.14711/thesis-b1251143 ; http://repository.ust.hk/ir/bitstream/1783.1-63088/1/th_redirect.html

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

University of Iowa

28. de Flôor e Silva, Diego. Critical behavior of multiflavor gauge theories.

Degree: PhD, Physics, 2018, University of Iowa

URL: https://ir.uiowa.edu/etd/6573

► It is expected that the number of flavors in a gauge theory plays an important role in model building for physics beyond the standard… (more)

Subjects/Keywords: conformal window; Lattice gauge theory; multiflavor; Physics

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

APA (6^th Edition):

de Flôor e Silva, D. (2018). Critical behavior of multiflavor gauge theories. (Doctoral Dissertation). University of Iowa. Retrieved from https://ir.uiowa.edu/etd/6573

Chicago Manual of Style (16^th Edition):

de Flôor e Silva, Diego. “Critical behavior of multiflavor gauge theories.” 2018. Doctoral Dissertation, University of Iowa. Accessed January 21, 2021. https://ir.uiowa.edu/etd/6573.

MLA Handbook (7^th Edition):

de Flôor e Silva, Diego. “Critical behavior of multiflavor gauge theories.” 2018. Web. 21 Jan 2021.

Vancouver:

de Flôor e Silva D. Critical behavior of multiflavor gauge theories. [Internet] [Doctoral dissertation]. University of Iowa; 2018. [cited 2021 Jan 21]. Available from: https://ir.uiowa.edu/etd/6573.

Council of Science Editors:

de Flôor e Silva D. Critical behavior of multiflavor gauge theories. [Doctoral Dissertation]. University of Iowa; 2018. Available from: https://ir.uiowa.edu/etd/6573

University of Waterloo

29. Paulson, Daniel. Towards simulating 2D effects in lattice gauge theories on a quantum computer.

Degree: 2020, University of Waterloo

URL: http://hdl.handle.net/10012/16464

► Quantum Field Theories (QFTs) are the most successful theories for describing nature at its most fundamental level. Despite the fact that QFTs are capable of… (more)

Subjects/Keywords: quantum simulations; lattice gauge theory; quantum computing

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

APA (6^th Edition):

Paulson, D. (2020). Towards simulating 2D effects in lattice gauge theories on a quantum computer. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/16464

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):

Paulson, Daniel. “Towards simulating 2D effects in lattice gauge theories on a quantum computer.” 2020. Thesis, University of Waterloo. Accessed January 21, 2021. http://hdl.handle.net/10012/16464.

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

MLA Handbook (7^th Edition):

Paulson, Daniel. “Towards simulating 2D effects in lattice gauge theories on a quantum computer.” 2020. Web. 21 Jan 2021.

Vancouver:

Paulson D. Towards simulating 2D effects in lattice gauge theories on a quantum computer. [Internet] [Thesis]. University of Waterloo; 2020. [cited 2021 Jan 21]. Available from: http://hdl.handle.net/10012/16464.

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

Council of Science Editors:

Paulson D. Towards simulating 2D effects in lattice gauge theories on a quantum computer. [Thesis]. University of Waterloo; 2020. Available from: http://hdl.handle.net/10012/16464

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

University of Cape Town

30. Walters, J L. Uniform sigma frames and the cozero part of uniform frames.

Degree: Image, Mathematics and Applied Mathematics, 1989, University of Cape Town

URL: http://hdl.handle.net/11427/18467

► In this thesis some general results on uniform frames are established and then, after defining a 'uniform sigma frame', the correspondence between the two is… (more)

Subjects/Keywords: Mathematics; Lattice theory

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

APA (6^th Edition):

Walters, J. L. (1989). Uniform sigma frames and the cozero part of uniform frames. (Thesis). University of Cape Town. Retrieved from http://hdl.handle.net/11427/18467

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):

Walters, J L. “Uniform sigma frames and the cozero part of uniform frames.” 1989. Thesis, University of Cape Town. Accessed January 21, 2021. http://hdl.handle.net/11427/18467.

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

MLA Handbook (7^th Edition):

Walters, J L. “Uniform sigma frames and the cozero part of uniform frames.” 1989. Web. 21 Jan 2021.

Vancouver:

Walters JL. Uniform sigma frames and the cozero part of uniform frames. [Internet] [Thesis]. University of Cape Town; 1989. [cited 2021 Jan 21]. Available from: http://hdl.handle.net/11427/18467.

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

Council of Science Editors:

Walters JL. Uniform sigma frames and the cozero part of uniform frames. [Thesis]. University of Cape Town; 1989. Available from: http://hdl.handle.net/11427/18467

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

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Open Access Theses and Dissertations