TY  - INPR
A1  - Fradon, Myriam
A1  - Roelly, Sylvie
T1  - Brownian Hard Balls submitted to an infinite rangeinteraction with slow decay
N2  - We consider an infinite system of hard balls in Rd undergoing Brownian motions and submitted to a pair potential with infinite range and quasi polynomial decay. 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 deterministic initial condition. We also show that the set of all equilibrium measures, solution of a Detailed Balance Equation, coincides with the set of canonical Gibbs measures associated to the hard core potential.
T3  - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2006, 01 
Y1  - 2011
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/4876
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-49379
ER  -