@misc{RoellyDaiPra2004, author = {Roelly, Sylvie and Dai Pra, Paolo}, title = {An existence result for infinite-dimensional Brownian diffusions with non- regular and non Markovian drift}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-6684}, year = {2004}, abstract = {We prove in this paper an existence result for infinite-dimensional stationary interactive Brownian diffusions. The interaction is supposed to be small in the norm ||.||∞ but otherwise is very general, being possibly non-regular and non-Markovian. Our method consists in using the characterization of such diffusions as space-time Gibbs fields so that we construct them by space-time cluster expansions in the small coupling parameter.}, language = {en} }