S. Jacquot et G. Royer, ERGODICITY FOR A CLASS OF STOCHASTIC PART IAL-DIFFERENTIAL EQUATIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 320(2), 1995, pp. 231-236
We consider a class of stochastic semilinear equations on a Hilbert sp
ace. We prove that the associated transition probabilities are geometr
ically Harris recurrent. This result can be used to prove the stabiliz
ation of plates submitted to a stochastic evolution of Ginsburg-Landau
type.