Infinite Particle Systems with Hard-Core and Long-Range Interaction

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A system of Brownian hard balls is regarded as a reflecting Brownian motion in the configuration space and can be represented by a solution to a Skorohod-type equation. In this article, we consider the case that there are an infinite number of balls, and the interaction between balls is given by the long-range pair interaction. We discuss the existence and uniqueness of strong solutions to the infinite-dimensional Skorohod equation.

Original languageEnglish
Title of host publicationDirichlet Forms and Related Topics - In Honor of Masatoshi Fukushima’s Beiju, IWDFRT 2022
EditorsZhen-Qing Chen, Masayoshi Takeda, Toshihiro Uemura
PublisherSpringer
Pages511-533
Number of pages23
ISBN (Print)9789811946714
DOIs
Publication statusPublished - 2022
EventInternational Conference on Dirichlet Forms and Related Topics, IWDFRT 2022 - Osaka, Japan
Duration: 2022 Aug 222022 Aug 26

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume394
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational Conference on Dirichlet Forms and Related Topics, IWDFRT 2022
Country/TerritoryJapan
CityOsaka
Period22/8/2222/8/26

Keywords

  • Infinite particle systems
  • Skorohod equations
  • Stochastic differential equations

ASJC Scopus subject areas

  • General Mathematics

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