Infinite system of Brownian balls with interaction : the non-reversible case
- We consider an infinite system of hard balls in Rd undergoing Brownian motions and submitted to a smooth pair potential. It is modelized by an infinite- dimensional Stochastic Differential Equation with an infinite-dimensional local time term. Existence and uniqueness of a strong solution is proven for such an equation with fixed deterministic initial condition. We also show that Gibbs measures are reversible measures.
Author details: | Myriam Fradon, Sylvie RoellyGND |
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URN: | urn:nbn:de:kobv:517-opus-51546 |
Publication series (Volume number): | Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint (2005, 01) |
Publication type: | Preprint |
Language: | English |
Publication year: | 2005 |
Publishing institution: | Universität Potsdam |
Release date: | 2011/03/28 |
Tag: | Gibbs measure; Stochastic Differential Equation; hard core potential; local time; reversible measure |
RVK - Regensburg classification: | SI 990 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
License (German): | Keine öffentliche Lizenz: Unter Urheberrechtsschutz |