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• W3100343367 abstract "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 finite-range uniformly bounded interaction. Under suitable conditions on the drift, we prove that there exists $t_0>0$ such that the distribution at time $tleq t_0$ 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." @default.
• W3100343367 created "2020-11-23" @default.
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• W3100343367 date "2010-01-28" @default.
• W3100343367 modified "2023-09-25" @default.
• W3100343367 title "Short-Time Gibbsianness for Infinite-Dimensional Diffusions with Space-Time Interaction" @default.
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• W3100343367 doi "https://doi.org/10.1007/s10955-010-9926-7" @default.
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