A system of infinitely many mutually reflecting Brownian balls in ℝd

Research output: Contribution to journalArticle

21 Citations (Scopus)

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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Ball
Gibbs States
Infinite Systems
Unique Solution
Diffusion Process
Diffusion process

ASJC Scopus subject areas

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

Cite this

A system of infinitely many mutually reflecting Brownian balls in ℝd . / Tanemura, Hideki.

In: Probability Theory and Related Fields, Vol. 104, No. 3, 01.01.1996, p. 399-426.

Research output: Contribution to journalArticle

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