Mestrado em Matemática

URI Permanente para esta coleção

http://repositorio.ufes.br/handle/10/17496

Nível: Mestrado Acadêmico
Ano de início: 2006
Conceito atual na CAPES: 3
Ato normativo: Homologado pelo CNE ( Port. MEC 609, de 14/03/2019, DOU 18/03/2019)
Periodicidade de seleção: Anual
Área(s) de concentração: Matemática
Url do curso: https://matematica.ufes.br/pt-br/pos-graduacao/PPGMAT/detalhes-do-curso?id=1401

Navegar

Submissões Recentes

Agora exibindo 1 - 5 de 56
  • Nenhuma Miniatura disponível
    Item
    Perfil do cutoff do processo de exclusão no grafo completo
    (Universidade Federal do Espírito Santo, 2024-04-15) Oliveira, Éric Santana; Jara Valenzuela, Milton David; https://orcid.org/; http://lattes.cnpq.br/7496571533341165; Silva, Fábio Júlio da ; https://orcid.org/0000-0003-2405-7696; http://lattes.cnpq.br/8745134398831488; https://orcid.org/; http://lattes.cnpq.br/4639522148187770; Bessam, Diogo Manuel Fernandes ; https://orcid.org/; http://lattes.cnpq.br/2356936612360198; Hernandez Romero, Freddy Rolando ; https://orcid.org/0000-0001-5410-3062; http://lattes.cnpq.br/2961243559975382
    This dissertation delves into the study of Markov chains, evolutionary processes characterized by “memory loss”, widely applied in diverse fields such as biology, statistics, and finance. The convergence of these chains to a stationary distribution is analyzed using the “total variation distance”. The times of 𝜀-mixing are introduced, representing the time required for convergence. The concept of coupling between Markov chains is presented, demonstrating its utility in de termining bounds for mixing times. The phenomenon of cutoff, an abrupt decrease in total variation distance, is explored, providing a detailed understanding of convergence. The ulti mate goal is to calculate the cutoff profile for the simple exclusion processes on complete graphs. Chapters cover the construction of chains, technical concepts, couplings, and mixing times, cul minating in the analysis of the cutoff phenomenon and its specific application to the exclusion process in the complete graph
  • Nenhuma Miniatura disponível
    Item
    A Transformada de Fourier para o Laplaciano Generalizado
    (Universidade Federal do Espírito Santo, 2024-03-05) Ramos Junior, Jomar Ferreira; Valentim, Fábio Júlio da Silva; https://orcid.org/0000-0003-2405-7696; http://lattes.cnpq.br/8745134398831488; https://orcid.org/0009-0006-1032-5169; http://lattes.cnpq.br/1800635453022041; Aranda, José Miguel Mendoza; https://orcid.org/; http://lattes.cnpq.br/8615067875072268; Silva, Jean Carlos da; https://orcid.org/; http://lattes.cnpq.br/9490078990099931
    This academic dissertation aims primarily to contribute to the enhancement of understanding of the Fourier Theory applied to the generalized Laplacian. The proposed methodology involves the construction of an orthonormal basis of eigenfunctions for the operator, based on the appropriate choice of Green’s functions. The central problem consists of finding the solution u(x) that satisfies certain boundary conditions for the equation Lu = f, using a series representation of the eigenfunctions of the operator L. The dissertation addresses fundamental aspects such as the definition of the domain of the generalized Laplacian, the analysis of Green’s functions and their applications in solving partial differential equations, as well as transformations for the generalized Laplacian. The interest in consolidating the Fourier Theory for the generalized Laplacian aims to provide a deeper understanding of the properties of this operator and its relation to Fourier Theory, establishing a foundation for future research, including more complex cases such as the differential operator in reverse order. This work represents a significant contribution to the understanding of the theory of the generalized Laplacian and its connections with Fourier Theory.
  • Nenhuma Miniatura disponível
    Item
    Homologia de Morse e Uma Aplicação em Geometria Simplética
    (Universidade Federal do Espírito Santo, 2023-05-29) Flores, Thales Danton de Souza; Batoreo, Marta Jakubowicz; https://orcid.org/; http://lattes.cnpq.br/1461528961848898; https://orcid.org/; http://lattes.cnpq.br/; Nascimento, Jose Victor Goulart; https://orcid.org/; http://lattes.cnpq.br/5273512936573286; Balseiro, Paula; https://orcid.org/; http://lattes.cnpq.br/
    abstract
  • Nenhuma Miniatura disponível
    Item
    Métodos da Teoria de Calibre na Gravitação Newtoniana
    (Universidade Federal do Espírito Santo, 2023-03-30) Lima, Matheus dos Santos; Camara, Leonardo Meireles; https://orcid.org/; http://lattes.cnpq.br/9240898305551070; https://orcid.org/; http://lattes.cnpq.br/; Martins, Gabriel Luchini; https://orcid.org/; http://lattes.cnpq.br/3344738411070832; Earp, Henrique Nogueira de Sa; https://orcid.org/; http://lattes.cnpq.br/
    abstract
  • Nenhuma Miniatura disponível
    Item
    Uma Introdução a Grandes Desvios e Finanças Quantitativas
    (Universidade Federal do Espírito Santo, 2022-12-21) Moreira, Vinicio Rodrigues; Valentim, Fabio Julio da Silva; https://orcid.org/0000000324057696; http://lattes.cnpq.br/8745134398831488; https://orcid.org/; http://lattes.cnpq.br/; Coelho, Glauco Valle da Silva; https://orcid.org/; http://lattes.cnpq.br/; Bessam, Diogo Manuel Fernandes; https://orcid.org/; http://lattes.cnpq.br/
    abstract