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  -