An infinite system of Brownian balls with infinite range interaction

Myriam Fradon, Sylvie Roelly, Hideki Tanemura

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We study an infinite system of Brownian hard balls, moving in ℝd and submitted to a smooth infinite range pair potential. It is represented by a diffusion process, which is constructed as the unique strong solution of an infinite-dimensional Skorohod equation. We also prove that canonical Gibbs states associated to the sum of the hard core potential and the pair potential are reversible measures for the dynamics.

Original languageEnglish
Pages (from-to)43-66
Number of pages24
JournalStochastic Processes and their Applications
Volume90
Issue number1
DOIs
Publication statusPublished - 2000 Nov
Externally publishedYes

Keywords

  • Gibbs state
  • Hard core potential
  • Infinite range interaction
  • Interacting particle system
  • Percolation model
  • Skorohod equation

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Applied Mathematics

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