Infinitely many Brownian globules with Brownian radii
Probability
2010-01-20 v1
Abstract
We consider an infinite system of non overlapping globules undergoing Brownian motions in R^3. The term globules means that the objects we are dealing with are spherical, but with a radius which is random and time-dependent. The dynamics is modelized by an infinite-dimensional Stochastic Differential Equation with local time. Existence and uniqueness of a strong solution is proven for such an equation with fixed deterministic initial condition. We also find a class of reversible measures.
Keywords
Cite
@article{arxiv.1001.3252,
title = {Infinitely many Brownian globules with Brownian radii},
author = {Myriam Fradon and Sylvie Roelly},
journal= {arXiv preprint arXiv:1001.3252},
year = {2010}
}
Comments
18 pages, 3 figures