TY  - INPR
A1  - Redig, Frank
A1  - Roelly, Sylvie
A1  - Ruszel, Wioletta
T1  - Short-time Gibbsianness for infinite-dimensional diffusions with space-time interaction
N2  - We consider a class of infinite-dimensional diffusions where the interaction between the components is both spatial and temporal. We start the system from a Gibbs measure with finiterange uniformly bounded interaction. Under suitable conditions on the drift, we prove that there exists t0 > 0 such that the distribution at time t = t0 is a Gibbs measure with absolutely summable interaction. The main tool is a cluster expansion of both the initial interaction and certain time-reversed Girsanov factors coming from the dynamics.
T3  - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2009, 04 
Y1  - 2009
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-49514
ER  -