Propagation of Gibbsianness for infinite-dimensional gradient Brownian diffusions

David Dereudre (1) , Sylvie Roelly (2, 3)

1 MACS - Laboratoire de Mathématiques Appliquées au Calcul Scientifique - EA 3337
2 CMAP - Centre de Mathématiques Appliquées
3 Institut für Mathematik [Potsdam]

We study the (strong-)Gibbsian character on R^Z^d of the law at time t of an infinite-dimensional gradient Brownian diffusion, when the initial distribution is Gibbsian.

Mots clés: infinite-dimensional diffusion; Gibbs measure; cluster expansion

Domaines: Probabilités [math.PR]; Physique mathématique [math-ph]

David Dereudre, Sylvie Roelly. Propagation of Gibbsianness for infinite-dimensional gradient Brownian diffusions. 2004. ⟨hal-00003585⟩