Polynomial mixing for the complex Ginzburg--Landau equation perturbed by a random force at random times
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
In this paper we study the problem of ergodicity for the complex Ginzburg--Landau equation perturbed by an unbounded random kick-force. Randomness is introduced both through the kicks and through the times between the kicks. We show that the Markov process associated with the equation in question possesses a unique stationary distribution and satisfies a property of polynomial mixing.
Keywords
Cite
@article{arxiv.math-ph/0609041,
title = {Polynomial mixing for the complex Ginzburg--Landau equation perturbed by a random force at random times},
author = {Vahagn Nersesyan},
journal= {arXiv preprint arXiv:math-ph/0609041},
year = {2007}
}