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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/1009582
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact