An infinite system of Brownian balls with infinite range interaction

Myriam Fradon, Sylvie Roelly, Hideki Tanemura

研究成果: Article査読

8 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)43-66
ページ数24
ジャーナルStochastic Processes and their Applications
90
1
DOI
出版ステータスPublished - 2000 11
外部発表はい

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Applied Mathematics

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