We consider a symmetric simple exclusion process on and obtain sharp estimates for the distribution of the first time the empirical density in a large box exceeds a given value larger than the initial density. As a corollary, we characterize the distribution of the process at this first occurrence time.
Sharp estimates for the occurrence time of rare events for symmetric simple exclusion
Paolo Dai Pra
1997-01-01
Abstract
We consider a symmetric simple exclusion process on and obtain sharp estimates for the distribution of the first time the empirical density in a large box exceeds a given value larger than the initial density. As a corollary, we characterize the distribution of the process at this first occurrence time.
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