Dokument-ID Dokumenttyp Verfasser/Autoren Herausgeber Haupttitel Abstract Auflage Verlagsort Verlag Erscheinungsjahr Seitenzahl Schriftenreihe Titel Schriftenreihe Bandzahl ISBN Quelle der Hochschulschrift Konferenzname Quelle:Titel Quelle:Jahrgang Quelle:Heftnummer Quelle:Erste Seite Quelle:Letzte Seite URN DOI Abteilungen OPUS4-590 misc Roelly, Sylvie; Dai Pra, Paolo An existence result for infinite-dimensional Brownian diffusions with non- regular and non Markovian drift 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. 2004 urn:nbn:de:kobv:517-opus-6684 Institut für Mathematik OPUS4-611 misc Roelly, Sylvie; Dereudre, David Propagation of Gibbsiannes for infinite-dimensional gradient Brownian diffusions We study the (strong-)Gibbsian character on R Z d of the law at time t of an infinitedimensional gradient Brownian diffusion , when the initial distribution is Gibbsian. 2004 urn:nbn:de:kobv:517-opus-6918 Institut für Mathematik OPUS4-591 misc Roelly, Sylvie; Dereudre, David On Gibbsianness of infinite-dimensional diffusions The authors analyse different Gibbsian properties of interactive Brownian diffusions X indexed by the d-dimensional lattice. In the first part of the paper, these processes are characterized as Gibbs states on path spaces. In the second part of the paper, they study the Gibbsian character on R^{Z^d} of the law at time t of the infinite-dimensional diffusion X(t), when the initial law is Gibbsian. AMS Classifications: 60G15 , 60G60 , 60H10 , 60J60 2004 urn:nbn:de:kobv:517-opus-6692 Institut für Mathematik