TY  - INPR
A1  - Fradon, Myriam
A1  - Roelly, Sylvie
T1  - Infinite system of Brownian balls with interaction : the non-reversible case
N2  - 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.
T3  - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2005, 01 
KW  - Stochastic Differential Equation
KW  - local time
KW  - hard core potential
KW  - Gibbs measure
KW  - reversible measure
Y1  - 2005
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-51546
ER  -