An infinite system of Brownian balls with infinite range interaction

We study an infinite system of Brownian hard balls, moving in and submitted to a smooth infinite range pair potential. It is represented by a diffusion process, which is constructed as the unique strong solution of an infinite-dimensional Skorohod equation. We also prove that canonical Gibbs states associated to the sum of the hard core potential and the pair potential are reversible measures for the dynamics.

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Year of publication:	2000
Authors:	Fradon, Myriam ; Roelly, Sylvie ; Tanemura, Hideki
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 90.2000, 1, p. 43-66
Publisher:	Elsevier
Keywords:	Gibbs state Interacting particle system Hard core potential Percolation model Skorohod equation Infinite range interaction

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008874523