Infinite particle systems with hard-core and long-range interaction
Probability
2023-01-18 v2
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.
Cite
@article{arxiv.2112.11009,
title = {Infinite particle systems with hard-core and long-range interaction},
author = {Hideki Tanemura},
journal= {arXiv preprint arXiv:2112.11009},
year = {2023}
}