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

Vahagn Nersesyan
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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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Vahagn Nersesyan. 2006-09-14. Polynomial mixing for the complex Ginzburg--Landau equation perturbed by a random force at random times. https://arxiv.org/abs/math-ph/0609041

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