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arXiv · 2112.11009

Infinite particle systems with hard-core and long-range interaction

Hideki Tanemura
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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.

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Hideki Tanemura. 2021-12-21. Infinite particle systems with hard-core and long-range interaction. https://arxiv.org/abs/2112.11009

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