• Bernoulli
  • Volume 22, Number 2 (2016), 681-710.

Long time behavior of stochastic hard ball systems

Patrick Cattiaux, Myriam Fradon, Alexei M. Kulik, and Sylvie Roelly

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We study the long time behavior of a system of $n=2,3$ Brownian hard balls, living in $\mathbb{R}^{d}$ for $d\ge2$, submitted to a mutual attraction and to elastic collisions.

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Bernoulli Volume 22, Number 2 (2016), 681-710.

Received: February 2014
Revised: July 2014
First available in Project Euclid: 9 November 2015

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hard core interaction local time Lyapunov function normal reflection Poincaré inequality reversible measure stochastic differential equations


Cattiaux, Patrick; Fradon, Myriam; Kulik, Alexei M.; Roelly, Sylvie. Long time behavior of stochastic hard ball systems. Bernoulli 22 (2016), no. 2, 681--710. doi:10.3150/14-BEJ672.

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