We give a temporal ergodicity criterium for the solution of a class of infinite dimensional stochastic differential equations of gradient type, where the interaction has infinite range. We illustrate our theoretical result by typical examples.
@article{urn:eudml:doc:41364, title = {Limite ergodique de processus de diffusion infini-dimensionnels.}, journal = {Publicacions Matem\`atiques}, volume = {43}, year = {1999}, pages = {191-205}, mrnumber = {MR1697520}, zbl = {0943.60071}, language = {fr}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41364} }
Roelly, Sylvie; Seu, D. Limite ergodique de processus de diffusion infini-dimensionnels.. Publicacions Matemàtiques, Tome 43 (1999) pp. 191-205. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41364/