A system of infinitely many mutually reflecting Brownian balls in ℝd

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Abstract

An infinite system of Skorohod type equations is studied. The unique solution of the system is obtained from a finite case by passing to the limit. It is a diffusion process describing a system of infinitely many Brownian hard balls and has a Gibbs state associated with the hard core pair potential as a reversible measure.

Original languageEnglish
Pages (from-to)399-426
Number of pages28
JournalProbability Theory and Related Fields
Volume104
Issue number3
DOIs
Publication statusPublished - 1996 Jan 1
Externally publishedYes

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ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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