Strong ergodicity results on wiener space
S. Jacquot · Stochastics and stochastics reports · 1994
We prove a strong ergodicity result for a generalized class of non-linear heat equations in the space C 0[0,1], subject to a white noise forcing term. The law of the process, at a fixed moment of time, is shown to converge in the total variation norm towards an invariant measure, which is the Boltzmann-Gibbs state associated with some potential. These results constitute a basis for further studies on simulated annealing on the Wiener space