TY  - BOOK
A1  - Dereudre, David
A1  - Roelly, Sylvie
T1  - On Gibbsianness of infinite-dimensional diffusions
N2  - We analyse different Gibbsian properties of interactive Brownian diffusions X indexed by the lattice $Z^{d} : X = (X_{i}(t), i ∈ Z^{d}, t ∈ [0, T], 0 < T < +∞)$. In a first part, these processes are characterized as Gibbs states on path spaces of the form $C([0, T],R)Z^{d}$. In a second part, we study the Gibbsian character on $R^{Z}^{d}$ of $v^{t}$, the law at time t of the infinite-dimensional diffusion X(t), when the initial law $v = v^{0}$ is Gibbsian.
T3  - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2004, 01 
KW  - infinite-dimensional Brownian diffusion
KW  - Gibbs field
KW  - cluster expansion
Y1  - 2011
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/5066
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-52630
ER  -