subject:(Dirichlet principle)

University of Utah

1. Snellman, Robbie. Dirichlet's Theorem and L-functions.

Degree: Honors BS;, Mathematics;, 2010, University of Utah

URL: http://content.lib.utah.edu/cdm/singleitem/collection/etd2/id/2090/rec/349

► Dirichlet's Theorem states that given any two relatively prime positive integers a, m, there are infinitely-many primes p in the arithmetic progression a + mk… (more)

Subjects/Keywords: Dirichlet principle

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APA (6^th Edition):

Snellman, R. (2010). Dirichlet's Theorem and L-functions. (Masters Thesis). University of Utah. Retrieved from http://content.lib.utah.edu/cdm/singleitem/collection/etd2/id/2090/rec/349

Chicago Manual of Style (16^th Edition):

Snellman, Robbie. “Dirichlet's Theorem and L-functions.” 2010. Masters Thesis, University of Utah. Accessed April 22, 2021. http://content.lib.utah.edu/cdm/singleitem/collection/etd2/id/2090/rec/349.

MLA Handbook (7^th Edition):

Snellman, Robbie. “Dirichlet's Theorem and L-functions.” 2010. Web. 22 Apr 2021.

Vancouver:

Snellman R. Dirichlet's Theorem and L-functions. [Internet] [Masters thesis]. University of Utah; 2010. [cited 2021 Apr 22]. Available from: http://content.lib.utah.edu/cdm/singleitem/collection/etd2/id/2090/rec/349.

Council of Science Editors:

Snellman R. Dirichlet's Theorem and L-functions. [Masters Thesis]. University of Utah; 2010. Available from: http://content.lib.utah.edu/cdm/singleitem/collection/etd2/id/2090/rec/349

Texas Tech University

2. Chenault, Thelma Ann. Dirichlet's theorem on primes in an arithmetic progression.

Degree: 1966, Texas Tech University

URL: http://hdl.handle.net/2346/11515

Subjects/Keywords: Dirichlet principle; Dirichlet series; Number theory

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APA (6^th Edition):

Chenault, T. A. (1966). Dirichlet's theorem on primes in an arithmetic progression. (Thesis). Texas Tech University. Retrieved from http://hdl.handle.net/2346/11515

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):

Chenault, Thelma Ann. “Dirichlet's theorem on primes in an arithmetic progression.” 1966. Thesis, Texas Tech University. Accessed April 22, 2021. http://hdl.handle.net/2346/11515.

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

MLA Handbook (7^th Edition):

Chenault, Thelma Ann. “Dirichlet's theorem on primes in an arithmetic progression.” 1966. Web. 22 Apr 2021.

Vancouver:

Chenault TA. Dirichlet's theorem on primes in an arithmetic progression. [Internet] [Thesis]. Texas Tech University; 1966. [cited 2021 Apr 22]. Available from: http://hdl.handle.net/2346/11515.

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

Council of Science Editors:

Chenault TA. Dirichlet's theorem on primes in an arithmetic progression. [Thesis]. Texas Tech University; 1966. Available from: http://hdl.handle.net/2346/11515

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

Texas Tech University

3. Brown, James F. Interpolation and approximation in the space of Dirichlet polynomials.

Degree: Mathematics, 1989, Texas Tech University

URL: http://hdl.handle.net/2346/18964

Subjects/Keywords: Dirichlet principle; Interpolation; Approximation theory

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APA (6^th Edition):

Brown, J. F. (1989). Interpolation and approximation in the space of Dirichlet polynomials. (Thesis). Texas Tech University. Retrieved from http://hdl.handle.net/2346/18964

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):

Brown, James F. “Interpolation and approximation in the space of Dirichlet polynomials.” 1989. Thesis, Texas Tech University. Accessed April 22, 2021. http://hdl.handle.net/2346/18964.

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

MLA Handbook (7^th Edition):

Brown, James F. “Interpolation and approximation in the space of Dirichlet polynomials.” 1989. Web. 22 Apr 2021.

Vancouver:

Brown JF. Interpolation and approximation in the space of Dirichlet polynomials. [Internet] [Thesis]. Texas Tech University; 1989. [cited 2021 Apr 22]. Available from: http://hdl.handle.net/2346/18964.

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

Council of Science Editors:

Brown JF. Interpolation and approximation in the space of Dirichlet polynomials. [Thesis]. Texas Tech University; 1989. Available from: http://hdl.handle.net/2346/18964

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

4. José Eduardo Jesus da Silva. Propriedade Alternada do Operador de Dirichlet-Neumann.

Degree: 2010, Universidade Federal da Paraíba

URL: http://bdtd.biblioteca.ufpb.br/tde_busca/arquivo.php?codArquivo=966

►

Neste trabalho dissertamos sobre Propriedades do Funcional de Dirichlet-Neumann para uma equação de condutividade numa variedade diferenciavel bidimensional com bordo. Utilizamos varias vezes o Principio… (more)

Subjects/Keywords: Núcleo; Funcional de Dirichlet- Neumann; Propriedade Alternada; Princípio do Máximo.; MATEMATICA; Alternating Property Kernel; Dirichlet-to-Neumann Map; Maximum Principle

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APA (6^th Edition):

Silva, J. E. J. d. (2010). Propriedade Alternada do Operador de Dirichlet-Neumann. (Thesis). Universidade Federal da Paraíba. Retrieved from http://bdtd.biblioteca.ufpb.br/tde_busca/arquivo.php?codArquivo=966

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):

Silva, José Eduardo Jesus da. “Propriedade Alternada do Operador de Dirichlet-Neumann.” 2010. Thesis, Universidade Federal da Paraíba. Accessed April 22, 2021. http://bdtd.biblioteca.ufpb.br/tde_busca/arquivo.php?codArquivo=966.

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

MLA Handbook (7^th Edition):

Silva, José Eduardo Jesus da. “Propriedade Alternada do Operador de Dirichlet-Neumann.” 2010. Web. 22 Apr 2021.

Vancouver:

Silva JEJd. Propriedade Alternada do Operador de Dirichlet-Neumann. [Internet] [Thesis]. Universidade Federal da Paraíba; 2010. [cited 2021 Apr 22]. Available from: http://bdtd.biblioteca.ufpb.br/tde_busca/arquivo.php?codArquivo=966.

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

Council of Science Editors:

Silva JEJd. Propriedade Alternada do Operador de Dirichlet-Neumann. [Thesis]. Universidade Federal da Paraíba; 2010. Available from: http://bdtd.biblioteca.ufpb.br/tde_busca/arquivo.php?codArquivo=966

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

University of Washington

5. Rudnick, Christian. Boundary Harnack Principle for Stable-Like Processes.

Degree: PhD, 2016, University of Washington

URL: http://hdl.handle.net/1773/36756

► We establish the boundary Harnack principle for certain classes of symmetric stable-like processes in \mathbf{R}^d on arbitrary open sets as well as censored stable-like processes… (more)

Subjects/Keywords: boundary Harnack principle; Dirichlet heat kernel estimates; stable-like processes; Mathematics; mathematics

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APA (6^th Edition):

Rudnick, C. (2016). Boundary Harnack Principle for Stable-Like Processes. (Doctoral Dissertation). University of Washington. Retrieved from http://hdl.handle.net/1773/36756

Chicago Manual of Style (16^th Edition):

Rudnick, Christian. “Boundary Harnack Principle for Stable-Like Processes.” 2016. Doctoral Dissertation, University of Washington. Accessed April 22, 2021. http://hdl.handle.net/1773/36756.

MLA Handbook (7^th Edition):

Rudnick, Christian. “Boundary Harnack Principle for Stable-Like Processes.” 2016. Web. 22 Apr 2021.

Vancouver:

Rudnick C. Boundary Harnack Principle for Stable-Like Processes. [Internet] [Doctoral dissertation]. University of Washington; 2016. [cited 2021 Apr 22]. Available from: http://hdl.handle.net/1773/36756.

Council of Science Editors:

Rudnick C. Boundary Harnack Principle for Stable-Like Processes. [Doctoral Dissertation]. University of Washington; 2016. Available from: http://hdl.handle.net/1773/36756

6. Thiago Mauricio Pacifico. O princípio das gavetas de Dirichlet - problemas e aplicações.

Degree: 2019, University of São Paulo

URL: http://www.teses.usp.br/teses/disponiveis/55/55136/tde-21082019-154139/

►

O princípio das gavetas de Dirichlet é um resultado matemático baseado numa proposição relativamente simples: se desejamos distribuir N +1 objetos em N gavetas, necessariamente… (more)

Subjects/Keywords: Aplicações; Combinatória; Princípio das gavetas de Dirichlet; Problemas; Applications; Combinatorial; Dirichlets drawer principle; Problems

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APA (6^th Edition):

Pacifico, T. M. (2019). O princípio das gavetas de Dirichlet - problemas e aplicações. (Masters Thesis). University of São Paulo. Retrieved from http://www.teses.usp.br/teses/disponiveis/55/55136/tde-21082019-154139/

Chicago Manual of Style (16^th Edition):

Pacifico, Thiago Mauricio. “O princípio das gavetas de Dirichlet - problemas e aplicações.” 2019. Masters Thesis, University of São Paulo. Accessed April 22, 2021. http://www.teses.usp.br/teses/disponiveis/55/55136/tde-21082019-154139/.

MLA Handbook (7^th Edition):

Pacifico, Thiago Mauricio. “O princípio das gavetas de Dirichlet - problemas e aplicações.” 2019. Web. 22 Apr 2021.

Vancouver:

Pacifico TM. O princípio das gavetas de Dirichlet - problemas e aplicações. [Internet] [Masters thesis]. University of São Paulo; 2019. [cited 2021 Apr 22]. Available from: http://www.teses.usp.br/teses/disponiveis/55/55136/tde-21082019-154139/.

Council of Science Editors:

Pacifico TM. O princípio das gavetas de Dirichlet - problemas e aplicações. [Masters Thesis]. University of São Paulo; 2019. Available from: http://www.teses.usp.br/teses/disponiveis/55/55136/tde-21082019-154139/

Delft University of Technology

7. Dall'Acqua, A. Higher order elliptic problems and positivity.

Degree: 2005, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:dc26e6ac-c0f7-4313-8236-9d4742968441 ; urn:NBN:nl:ui:24-uuid:dc26e6ac-c0f7-4313-8236-9d4742968441 ; urn:NBN:nl:ui:24-uuid:dc26e6ac-c0f7-4313-8236-9d4742968441 ; http://resolver.tudelft.nl/uuid:dc26e6ac-c0f7-4313-8236-9d4742968441

► The main subject of this thesis concerns positivity for fourth order elliptic problems. By positivity we mean that a positive source term in the differential… (more)

Subjects/Keywords: clamped equation; maximum principle; dirichlet boundary conditions; biharmonic operator

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APA (6^th Edition):

Dall'Acqua, A. (2005). Higher order elliptic problems and positivity. (Doctoral Dissertation). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:dc26e6ac-c0f7-4313-8236-9d4742968441 ; urn:NBN:nl:ui:24-uuid:dc26e6ac-c0f7-4313-8236-9d4742968441 ; urn:NBN:nl:ui:24-uuid:dc26e6ac-c0f7-4313-8236-9d4742968441 ; http://resolver.tudelft.nl/uuid:dc26e6ac-c0f7-4313-8236-9d4742968441

Chicago Manual of Style (16^th Edition):

Dall'Acqua, A. “Higher order elliptic problems and positivity.” 2005. Doctoral Dissertation, Delft University of Technology. Accessed April 22, 2021. http://resolver.tudelft.nl/uuid:dc26e6ac-c0f7-4313-8236-9d4742968441 ; urn:NBN:nl:ui:24-uuid:dc26e6ac-c0f7-4313-8236-9d4742968441 ; urn:NBN:nl:ui:24-uuid:dc26e6ac-c0f7-4313-8236-9d4742968441 ; http://resolver.tudelft.nl/uuid:dc26e6ac-c0f7-4313-8236-9d4742968441.

MLA Handbook (7^th Edition):

Dall'Acqua, A. “Higher order elliptic problems and positivity.” 2005. Web. 22 Apr 2021.

Vancouver:

Dall'Acqua A. Higher order elliptic problems and positivity. [Internet] [Doctoral dissertation]. Delft University of Technology; 2005. [cited 2021 Apr 22]. Available from: http://resolver.tudelft.nl/uuid:dc26e6ac-c0f7-4313-8236-9d4742968441 ; urn:NBN:nl:ui:24-uuid:dc26e6ac-c0f7-4313-8236-9d4742968441 ; urn:NBN:nl:ui:24-uuid:dc26e6ac-c0f7-4313-8236-9d4742968441 ; http://resolver.tudelft.nl/uuid:dc26e6ac-c0f7-4313-8236-9d4742968441.

Council of Science Editors:

Dall'Acqua A. Higher order elliptic problems and positivity. [Doctoral Dissertation]. Delft University of Technology; 2005. Available from: http://resolver.tudelft.nl/uuid:dc26e6ac-c0f7-4313-8236-9d4742968441 ; urn:NBN:nl:ui:24-uuid:dc26e6ac-c0f7-4313-8236-9d4742968441 ; urn:NBN:nl:ui:24-uuid:dc26e6ac-c0f7-4313-8236-9d4742968441 ; http://resolver.tudelft.nl/uuid:dc26e6ac-c0f7-4313-8236-9d4742968441

Mahatma Gandhi University

8. Thomas, Seemon. Some extensions of dirichlet models and their applications; -.

Degree: Statistics, 2007, Mahatma Gandhi University

URL: http://shodhganga.inflibnet.ac.in/handle/10603/7129

►

The thesis starts with a few words on Dirichlet himself. The properties of standard real type-1 and type-2 Dirichlet distributions are then discussed. Matrix-variate analogues… (more)

▼

The thesis starts with a few words on Dirichlet himself. The properties of standard real type-1 and type-2 Dirichlet distributions are then discussed. Matrix-variate analogues of type-1 and type-2 Dirichlet models are also presented. A survey of some of the important areas of applications and extensions of Dirichlet models is attempted. All these are done in the first chapter. In the second chapter we introduce a new extension of type-1 Dirichlet model both in scalar variables case and in the matrix-variate case. The generalization of type-1 Dirichlet model in the scalar variables case is derived by using a property which we will call as a short memory property . Several properties of this new model, which are applicable in many fields, are presented. Here the matrix-variate analogue of an extension of a type-1 Dirichlet model is developed and its properties are also discussed. In certain studies, successive sums of variables also enter into the picture. Hence an extension of the type-2 Dirichlet model with successive sums incorporated into it, is introduced in the third chapter. Many types of properties of this new model are studied which enhance the possibility of application in different directions. Further, the matrixvariate analogue of this new model is given and its properties are also examined. The fourth chapter explores the application of a generalized real type-1 Dirichlet model in multivariate statistical analysis. It is shown that the exact null distribution of likelihood ratio criteria for testing a number of hypotheses on the parameters of one or more multivariate Gaussian populations can be obtained as a marginal distribution of this generalized Dirichlet model having a specific set of parameters. The exact distribution of the likelihood ratio criterion so obtained has a very simple and general format for every p. Various types of properties and relations involving hypergeometric series are also established.

References given chapters wise

Advisors/Committee Members: Thannippara, Alex.

Subjects/Keywords: geometrical probability; generalized Dirichlet model; beta density; short memory property; neutrality principle; matrix-variate distribution; Jacobians of matrix transformations; Meijer s G-function; likelihood ratio criterion; exact distribution

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APA (6^th Edition):

Thomas, S. (2007). Some extensions of dirichlet models and their applications; -. (Thesis). Mahatma Gandhi University. Retrieved from http://shodhganga.inflibnet.ac.in/handle/10603/7129

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):

Thomas, Seemon. “Some extensions of dirichlet models and their applications; -.” 2007. Thesis, Mahatma Gandhi University. Accessed April 22, 2021. http://shodhganga.inflibnet.ac.in/handle/10603/7129.

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

MLA Handbook (7^th Edition):

Thomas, Seemon. “Some extensions of dirichlet models and their applications; -.” 2007. Web. 22 Apr 2021.

Vancouver:

Thomas S. Some extensions of dirichlet models and their applications; -. [Internet] [Thesis]. Mahatma Gandhi University; 2007. [cited 2021 Apr 22]. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/7129.

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

Council of Science Editors:

Thomas S. Some extensions of dirichlet models and their applications; -. [Thesis]. Mahatma Gandhi University; 2007. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/7129

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

University of Missouri – Columbia

9. DeWees, Todd A., 1979-. A hierarchical Bayesian mixture approach for modeling reflectivity fields with application to Nowcasting.

Degree: 2009, University of Missouri – Columbia

URL: https://doi.org/10.32469/10355/9888

► [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] We study a hierarchical Bayesian framework for finite mixtures of distributions. We first consider… (more)

Subjects/Keywords: Bayesian statistical decision theory; Dirichlet principle; Radar meteorology; Reflectance; Nowcasting (Meteorology)

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APA (6^th Edition):

DeWees, Todd A., 1. (2009). A hierarchical Bayesian mixture approach for modeling reflectivity fields with application to Nowcasting. (Thesis). University of Missouri – Columbia. Retrieved from https://doi.org/10.32469/10355/9888

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):

DeWees, Todd A., 1979-. “A hierarchical Bayesian mixture approach for modeling reflectivity fields with application to Nowcasting.” 2009. Thesis, University of Missouri – Columbia. Accessed April 22, 2021. https://doi.org/10.32469/10355/9888.

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

MLA Handbook (7^th Edition):

DeWees, Todd A., 1979-. “A hierarchical Bayesian mixture approach for modeling reflectivity fields with application to Nowcasting.” 2009. Web. 22 Apr 2021.

Vancouver:

DeWees, Todd A. 1. A hierarchical Bayesian mixture approach for modeling reflectivity fields with application to Nowcasting. [Internet] [Thesis]. University of Missouri – Columbia; 2009. [cited 2021 Apr 22]. Available from: https://doi.org/10.32469/10355/9888.

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

Council of Science Editors:

DeWees, Todd A. 1. A hierarchical Bayesian mixture approach for modeling reflectivity fields with application to Nowcasting. [Thesis]. University of Missouri – Columbia; 2009. Available from: https://doi.org/10.32469/10355/9888

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

University of Canterbury

10. McKubre-Jordens, M. Solving the Dirichlet problem constructively.

Degree: Mathematics and Statistics, 2013, University of Canterbury

URL: http://hdl.handle.net/10092/9136

► The Dirichlet problem is of central importance in both applied and abstract potential theory. We prove the (perhaps surprising) result that the existence of solutions… (more)

Subjects/Keywords: constructive analysis; Dirichlet problem; Brouwerian example; Markov’s principle; omniscience principle; Field of Research::01 - Mathematical Sciences::0103 - Numerical and Computational Mathematics::010399 - Numerical and Computational Mathematics not elsewhere classified; Field of Research::02 - Physical Sciences::0203 - Classical Physics::020303 - Fluid Physics

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APA (6^th Edition):

McKubre-Jordens, M. (2013). Solving the Dirichlet problem constructively. (Thesis). University of Canterbury. Retrieved from http://hdl.handle.net/10092/9136

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):

McKubre-Jordens, M. “Solving the Dirichlet problem constructively.” 2013. Thesis, University of Canterbury. Accessed April 22, 2021. http://hdl.handle.net/10092/9136.

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

MLA Handbook (7^th Edition):

McKubre-Jordens, M. “Solving the Dirichlet problem constructively.” 2013. Web. 22 Apr 2021.

Vancouver:

McKubre-Jordens M. Solving the Dirichlet problem constructively. [Internet] [Thesis]. University of Canterbury; 2013. [cited 2021 Apr 22]. Available from: http://hdl.handle.net/10092/9136.

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

Council of Science Editors:

McKubre-Jordens M. Solving the Dirichlet problem constructively. [Thesis]. University of Canterbury; 2013. Available from: http://hdl.handle.net/10092/9136

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

11. Silva, José Eduardo Jesus da. Propriedade Alternada do Operador de Dirichlet-Neumann.

Degree: 2010, Universidade Federal da Paraíba; Programa de Pós Graduação em Matemática; UFPB; BR; Matemática

URL: https://repositorio.ufpb.br/jspui/handle/tede/7455

►

Made available in DSpace on 2015-05-15T11:46:24Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 947145 bytes, checksum: 7294f81daf663930a60afca1aecbee7b (MD5) Previous issue date: 2010-07-22

Made available in DSpace… (more)

Subjects/Keywords: Propriedade Alternada; Núcleo; Funcional de Dirichlet- Neumann; Princípio do Máximo.; Alternating Property Kernel; Dirichlet-to-Neumann Map; Maximum Principle; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA

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APA (6^th Edition):

Silva, J. E. J. d. (2010). Propriedade Alternada do Operador de Dirichlet-Neumann. (Masters Thesis). Universidade Federal da Paraíba; Programa de Pós Graduação em Matemática; UFPB; BR; Matemática. Retrieved from https://repositorio.ufpb.br/jspui/handle/tede/7455

Chicago Manual of Style (16^th Edition):

Silva, José Eduardo Jesus da. “Propriedade Alternada do Operador de Dirichlet-Neumann.” 2010. Masters Thesis, Universidade Federal da Paraíba; Programa de Pós Graduação em Matemática; UFPB; BR; Matemática. Accessed April 22, 2021. https://repositorio.ufpb.br/jspui/handle/tede/7455.

MLA Handbook (7^th Edition):

Silva, José Eduardo Jesus da. “Propriedade Alternada do Operador de Dirichlet-Neumann.” 2010. Web. 22 Apr 2021.

Vancouver:

Silva JEJd. Propriedade Alternada do Operador de Dirichlet-Neumann. [Internet] [Masters thesis]. Universidade Federal da Paraíba; Programa de Pós Graduação em Matemática; UFPB; BR; Matemática; 2010. [cited 2021 Apr 22]. Available from: https://repositorio.ufpb.br/jspui/handle/tede/7455.

Council of Science Editors:

Silva JEJd. Propriedade Alternada do Operador de Dirichlet-Neumann. [Masters Thesis]. Universidade Federal da Paraíba; Programa de Pós Graduação em Matemática; UFPB; BR; Matemática; 2010. Available from: https://repositorio.ufpb.br/jspui/handle/tede/7455

12. Charabati, Mohamad. Le problème de Dirichlet pour les équations de Monge-Ampère complexes : The dirichlet problem for complex Monge-Ampère equations.

Degree: Docteur es, Mathématiques fondamentales, 2016, Université Toulouse III – Paul Sabatier

URL: http://www.theses.fr/2016TOU30001

►

Cette thèse est consacrée à l'étude de la régularité des solutions des équations de Monge-Ampère complexes ainsi que des équations hessiennes complexes dans un domaine… (more)

▼

Cette thèse est consacrée à l'étude de la régularité des solutions des équations de Monge-Ampère complexes ainsi que des équations hessiennes complexes dans un domaine borné de Cn. Dans le premier chapitre, on donne des rappels sur la théorie du pluripotentiel. Dans le deuxième chapitre, on étudie le module de continuité des solutions du problème de Dirichlet pour les équations de Monge-Ampère lorsque le second membre est une mesure à densité continue par rapport à la mesure de Lebesgue dans un domaine strictement hyperconvexe lipschitzien. Dans le troisième chapitre, on prouve la continuité hölderienne des solutions de ce problème pour certaines mesures générales. Dans le quatrième chapitre, on considère le problème de Dirichlet pour les équations hessiennes complexes plus générales où le second membre dépend de la fonction inconnue. On donne une estimation précise du module de continuité de la solution lorsque la densité est continue. De plus, si la densité est dans Lp , on démontre que la solution est Hölder-continue jusqu'au bord.

In this thesis we study the regularity of solutions to the Dirichlet problem for complex Monge-Ampère equations and also for complex Hessian equations in a bounded domain of Cn. In the first chapter, we give basic facts in pluripotential theory. In the second chapter, we study the modulus of continuity of solutions to the Dirichlet problem for complex Monge-Ampère equations when the right hand side is a measure with continuous density with respect to the Lebesgue measure in a bounded strongly hyperconvex Lipschitz domain. In the third chapter, we prove the Hölder continuity of solutions to this problem for some general measures. In the fourth chapter, we consider the Dirichlet problem for complex Hessian equations when the right hand side depends on the unknown function. We give a sharp estimate of the modulus of continuity of the solution as the density is continuous. Moreover, for the case of Lp-density we demonstrate that the solution is Hölder continuous up to the boundary.

Advisors/Committee Members: Zeriahi, Ahmed (thesis director).

Subjects/Keywords: Problème de Dirichlet; Opérateur de Monge-Ampère; Mesure de Hausdorff-Riesz; Fonction m-sousharmonique; Opérateur hessien; Capacité; Module de continuité; Principe de comparaison; Théorème de stabilité; Domaine strictement hyperconvexe lipschitzien; Domaine strictement m-pseudoconvexe; Dirichlet problem; Monge-Ampère operator; Hausdorff-Riesz measure; M-subharmonic function; Hessian operator; Capacity; Modulus of continuity; Comparison principle; Stability theorem; Strongly hyperconvex Lipschitz domain; Strongly m-pseudoconvex domain

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

APA (6^th Edition):

Charabati, M. (2016). Le problème de Dirichlet pour les équations de Monge-Ampère complexes : The dirichlet problem for complex Monge-Ampère equations. (Doctoral Dissertation). Université Toulouse III – Paul Sabatier. Retrieved from http://www.theses.fr/2016TOU30001

Chicago Manual of Style (16^th Edition):

Charabati, Mohamad. “Le problème de Dirichlet pour les équations de Monge-Ampère complexes : The dirichlet problem for complex Monge-Ampère equations.” 2016. Doctoral Dissertation, Université Toulouse III – Paul Sabatier. Accessed April 22, 2021. http://www.theses.fr/2016TOU30001.

MLA Handbook (7^th Edition):

Charabati, Mohamad. “Le problème de Dirichlet pour les équations de Monge-Ampère complexes : The dirichlet problem for complex Monge-Ampère equations.” 2016. Web. 22 Apr 2021.

Vancouver:

Charabati M. Le problème de Dirichlet pour les équations de Monge-Ampère complexes : The dirichlet problem for complex Monge-Ampère equations. [Internet] [Doctoral dissertation]. Université Toulouse III – Paul Sabatier; 2016. [cited 2021 Apr 22]. Available from: http://www.theses.fr/2016TOU30001.

Council of Science Editors:

Charabati M. Le problème de Dirichlet pour les équations de Monge-Ampère complexes : The dirichlet problem for complex Monge-Ampère equations. [Doctoral Dissertation]. Université Toulouse III – Paul Sabatier; 2016. Available from: http://www.theses.fr/2016TOU30001

Michigan State University

13. Chang, Hsiu-Ching. Latent class profile analysis : inference, estimation and its applications.

Degree: 2011, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:1006

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Thesis Ph. D. Michigan State University. Statistics 2011.

Recently, a great deal of attention has been paid to the stage-sequential process for the longitudinal data… (more)

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Thesis Ph. D. Michigan State University. Statistics 2011.

Recently, a great deal of attention has been paid to the stage-sequential process for the longitudinal data and a number of methods for analyzing stage-sequential processes have been derived from the family of finite mixture modeling. However, research on the sequential process is rendered difficult by the fact that the number of latent components is not knowna priori. To address this problem, we propose two solutions, reversible jump MCMC and the Bayesian non-parametric approach, so as to provide a set of principles for the systematic model selection for the stage-sequential process. The reversible jump MCMC sampler can explore parameter space and automatically learn the model. Nevertheless, we have found that reversible jump Markov chain Monte Carlo requires the efficient design of proposalmechanism as jumping rules. To reduce the technical and computational burdens, we propose a Bayesian non-parametric approach to select the number of latent components. Using a latent class-profile analysis, we test both algorithms on synthesized data sets to evaluate their performances in model selection problems.Once a model is selected, the model parameters are needed to be estimated. The expectation-maximization algorithm (Dempster et al., 1977) and the data augmentation using MCMC (Hastings, 1970; Tanner and Wong, 1987a) are widely-used techniques to draw statistical inferences of the parameters for the LCPA model. As a number of measurement occasions increases in the LCPA model, however, the computation cost of expectation-maximization or MCMC will become exponentially intensive. On the contrary, if one adapts recursive scheme in the update steps, calculations will be simplified and become generalized to more time points. In light of this, we formulate each update step with recursive terms which are directly analogous to forward-backward algorithm (Chib, 1996; MacKay, 1997).The parameter estimation for the LCPA model benefits from recursive formula, but the recursive algorithm still requires careful examination for the existence of multiple local modes of the objective function (i.e., log-likelihood). Applying the recursive formula, we implement deterministic annealing EM (Ueda and Nakano, 1998) and deterministic annealing variant of variational Bayes (Katahiral et al., 2008) in order to find parameter estimates on the global mode of the objective function. Both methods are based on the deterministic annealing framework, in which ω is included as an annealing parameter to control the annealing rate. By adjusting the value of ω, the annealing process tracks multiple local modes and identifies the globalized optimum as a result.At last, we are interested in analyzing the early onset drinking behaviours among the young generation. We apply latent class-profile analysis to alcohol drinking behaviours as manifest in self-reported items drawn from the National Longitudinal Survey of Youth 1997, which was a survey that explores the transition from school to work…

Advisors/Committee Members: Chung, Hwan, Ramamoorthi, R.V, Gardiner, Joseoh, Dass, Sarat, Huebner, Marianne.

Subjects/Keywords: Expectation-maximization algorithms; Dirichlet principle; Recursive functions – Data processing; Statistics; Latent stage-sequential process; Multiple local modes; Reversible jump MCMC; Deterministic annealing

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

APA (6^th Edition):

Chang, H. (2011). Latent class profile analysis : inference, estimation and its applications. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:1006

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):

Chang, Hsiu-Ching. “Latent class profile analysis : inference, estimation and its applications.” 2011. Thesis, Michigan State University. Accessed April 22, 2021. http://etd.lib.msu.edu/islandora/object/etd:1006.

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

MLA Handbook (7^th Edition):

Chang, Hsiu-Ching. “Latent class profile analysis : inference, estimation and its applications.” 2011. Web. 22 Apr 2021.

Vancouver:

Chang H. Latent class profile analysis : inference, estimation and its applications. [Internet] [Thesis]. Michigan State University; 2011. [cited 2021 Apr 22]. Available from: http://etd.lib.msu.edu/islandora/object/etd:1006.

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

Council of Science Editors:

Chang H. Latent class profile analysis : inference, estimation and its applications. [Thesis]. Michigan State University; 2011. Available from: http://etd.lib.msu.edu/islandora/object/etd:1006

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