Polynomial mixing for the complex Ginzburg--Landau equation perturbed by a random force at random times
Vahagn Nersesyan
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.
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