Infinite dimensional diffusion processes with singular interaction

✍ Scribed by Myriam Fradon; Sylvie Rœlly

• Publisher: Elsevier Science
• Year: 2000
• Tongue: French
• Weight: 238 KB
• Volume: 124
• Category: Article
• ISSN: 0007-4497
• DOI: 10.1016/s0007-4497(00)00136-6

✦ Synopsis

An infinite system of hard spheres in R d undergoing Brownian motions and submitted to a smooth pair potential is studied. It is modelized by an infinitedimensional Stochastic Differential Equation with a local time term. We prove existence and uniqueness of such a diffusion process, and also that Gibbs states are reversible measures.