• Refine Query
  • Source
  • Publication year
  • to
  • Language
  • 1
  • Tagged with
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Cálculo exato do ponto crítico de modelos de aglomerados aleatórios (q ≥ 1) sobre a rede bidimensional

Vila Gabriel, Roberto January 2013 (has links)
Dissertação(mestrado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2013. / Submitted by Alaíde Gonçalves dos Santos (alaide@unb.br) on 2013-10-08T12:16:21Z No. of bitstreams: 1 2013_RobertoVilaGabriel.pdf: 3245364 bytes, checksum: b4dd6dc2376cbbe449b55b6bcfd55654 (MD5) / Approved for entry into archive by Guimaraes Jacqueline(jacqueline.guimaraes@bce.unb.br) on 2013-10-16T14:03:06Z (GMT) No. of bitstreams: 1 2013_RobertoVilaGabriel.pdf: 3245364 bytes, checksum: b4dd6dc2376cbbe449b55b6bcfd55654 (MD5) / Made available in DSpace on 2013-10-16T14:03:06Z (GMT). No. of bitstreams: 1 2013_RobertoVilaGabriel.pdf: 3245364 bytes, checksum: b4dd6dc2376cbbe449b55b6bcfd55654 (MD5) / Este trabalho está baseado no artigo: The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1, escrito pelos matemáticos Vincent Beffara e Hugo Duminil-Copin publicado no periódico Probability Theory and Related Fields em 2012. Neste trabalho os autores provam uma conjectura bastante antiga sobre o valor do ponto crítico do Modelo de Aglomerados Aleatórios na rede Z2. Eles mostraram que o ponto auto-dual, psd(q) = √q /(1 + √q ); para q ≥ 1 é crítico na rede quadrada. Como uma aplicação deste resultado, eles mostraram também que as funções de conectividade, na fase subcrítica, decaem exponencialmente com respeito à distância entre dois pontos. _______________________________________________________________________________________ ABSTRACT / This work is based on the paper: The self-dual point of the two-dimensional randomcluster model is critical for, q ≥ 1, by Vincent Beffara and Hugo Duminil-Copin, Probability Theory and Related Fields 2012. In this work the authors proved an old conjecture about the critical point of the Random-Cluster Model in the square lattice. They shown that the self dual point, psd(q) = √q /(1 + √q ); for q ≥ 1 is critical on the square lattice. As an application they shown that the connectivity functions, in the subcritical phase, decays exponentially fast with the distance of the points.

Page generated in 0.0704 seconds