On Gibbsianness of Infinite-Dimensional Diffusions

D. Dereudre, S. Roelly

2004, v.10, №3, 395-410

ABSTRACT

We analyse different Gibbsian properties of interactive Brownian diffusions $X$ indexed by the lattice $Z^d : X=(X_i(t)$, $i \in Z^d$, $t \in [0,T]$.

Keywords: infinite-dimensional Brownian diffusion,Gibbs field,clusterexpansion

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