TY  - GEN
A1  - Roelly, Sylvie
A1  - Dereudre, David
T1  - Propagation of Gibbsiannes for infinite-dimensional gradient Brownian diffusions
N2  - 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.
KW  - infinite-dimensional Brownian diffusion
KW  - Gibbs measure
KW  - cluster expansion
Y1  - 2004
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-6918
ER  - 
TY  - GEN
A1  - Roelly, Sylvie
A1  - Dereudre, David
T1  - On Gibbsianness of infinite-dimensional diffusions
N2  - 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
KW  - infinite-dimensional Brownian diffusion
KW  - Gibbs field
KW  - cluster expansion
Y1  - 2004
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-6692
ER  - 
TY  - GEN
A1  - Roelly, Sylvie
A1  - Dai Pra, Paolo
T1  - An existence result for infinite-dimensional Brownian diffusions with non- regular and non Markovian drift
N2  - 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.
KW  - infinite-dimensional Brownian diffusion
KW  - space-time Gibbs field
KW  - cluster expansion
Y1  - 2004
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-6684
ER  -