Matemática

URI Permanente desta comunidade

http://repositorio.ufes.br/handle/10/17495
Programa de Pós-Graduação em Matemática

Centro: CCE
Telefone: (27) 4009 2474
URL do programa: http://www.matematica.ufes.br/pos-graduacao/PPGMAT

Navegar

Navegando Matemática por Autor "Araujo, Alancardek Pereira"

Agora exibindo 1 - 2 de 2
  • Nenhuma Miniatura disponível
    Item
    Superfície mínima discreta
    (Universidade Federal do Espírito Santo, 2014-02-27) Moreira, Nadia Cardoso; Carmo, Fabiano Petronetto do; Crissaff, Lhaylla dos Santos; Gonçalves Júnior, Etereldes; Araujo, Alancardek Pereira
    The Minimal Surfaces problem emerged from the study of the Calculus of Variations with the meaning of being a regular surface of smallest area among those that set a specific boundary. This problem was proposed by Lagrange in 1760 and is called the Plateau Problem due to experimental studies of the physicist Joseph Antoine Ferdinand Plateau. This work proposes a numerical solution to a discrete version of the Plateau Problem from the proposed method by Pinkall and Polthier. Of the discrete viewpoint case, surfaces are simplicial complexes with certain restrictions and we use the concepts of Dirichlet Energy over applications that have triangulated surfaces as domain in order to developed a mathematically consistent algorithm to obtain a minimum surface given a boundary.
  • Nenhuma Miniatura disponível
    Item
    Teorema de decomposição de Lévy-Itô
    (Universidade Federal do Espírito Santo, 2014-12-15) Pereira Junior, Silvano Antonio Alves; Valentim, Fábio Júlio da Silva; Araujo, Alancardek Pereira; Franco, Tertuliano Franco Santos
    In this work we present an introduction to the study of Levy processes following those presented in the book (TANKOV, 2003). For this we will briefly review some results of the theory of Probability needed to the study. Then we study the Poisson processes, random measures and Poisson random measures. Next we introduce the Lévy processes and infinitely divisible distributions, we present the measure of Lévy and then the main result of this work, the Decomposition Theorem of Lévy-Itô .