TY  - JOUR
A1  - Cattiaux, Patrick
A1  - Fradon, Myriam
A1  - Kulik, Alexei M.
A1  - Roelly, Sylvie
T1  - Long time behavior of stochastic hard ball systems
JF  - Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability
N2  - We study the long time behavior of a system of n = 2, 3 Brownian hard balls, living in R-d for d >= 2, submitted to a mutual attraction and to elastic collisions.
KW  - hard core interaction
KW  - local time
KW  - Lyapunov function
KW  - normal reflection
KW  - Poincare inequality
KW  - reversible measure
KW  - stochastic differential equations
Y1  - 2016
U6  - https://doi.org/10.3150/14-BEJ672
SN  - 1350-7265
SN  - 1573-9759
VL  - 22
SP  - 681
EP  - 710
PB  - International Statistical Institute
CY  - Voorburg
ER  - 
TY  - JOUR
A1  - Fradon, Myriam
A1  - Roelly, Sylvie
T1  - Infinitely many Brownian globules with Brownian radii
N2  - 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.
Y1  - 2010
UR  - http://www.worldscinet.com/sd/sd.shtml
U6  - https://doi.org/10.1142/S021949371000311x
SN  - 0219-4937
ER  -