We give asymptotics for the occurrence time of rareevents in infinite spinsystems whose invariant measure satisfies a Logarithmic Sobolev inequality. We then describe the typical paths close to this occurrence time. Finally, in the case of non-interactingspins, we obtain sharper estimates for the expected value of the occurrence time.
Occurrence of rare events in ergodic interacting spin systems
P. Dai Pra
1997-01-01
Abstract
We give asymptotics for the occurrence time of rareevents in infinite spinsystems whose invariant measure satisfies a Logarithmic Sobolev inequality. We then describe the typical paths close to this occurrence time. Finally, in the case of non-interactingspins, we obtain sharper estimates for the expected value of the occurrence time.
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