Vahagn Nersesyan
Polynomial mixing for the complex Ginzburg--Landau equation 
perturbed by a random force at random times
(341K,  PDF )

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.