Translator Disclaimer
October 2004 Hitting times for special patterns in the symmetric exclusion process on ℤd
Amine Asselah, Paolo Dai Pra
Ann. Probab. 32(4): 3301-3323 (October 2004). DOI: 10.1214/009117904000000487

Abstract

We consider the symmetric exclusion process {ηt,t>0} on {0,1}d. We fix a pattern ${\mathcal{A}}:=\{\eta: \sum_{\Lambda}\eta(i)\ge k\}$, where Λ is a finite subset of ℤd and k is an integer, and we consider the problem of establishing sharp estimates for τ, the hitting time of ${\mathcal{A}}$. We present a novel argument based on monotonicity which helps in some cases to obtain sharp tail asymptotics for τ in a simple way. Also, we characterize the trajectories {ηs,st} conditioned on {τ>t}.

Citation

Download Citation

Amine Asselah. Paolo Dai Pra. "Hitting times for special patterns in the symmetric exclusion process on ℤd." Ann. Probab. 32 (4) 3301 - 3323, October 2004. https://doi.org/10.1214/009117904000000487

Information

Published: October 2004
First available in Project Euclid: 8 February 2005

zbMATH: 1067.60096
MathSciNet: MR2094446
Digital Object Identifier: 10.1214/009117904000000487

Subjects:
Primary: 60J25, 60K35, 82C22

Rights: Copyright © 2004 Institute of Mathematical Statistics

JOURNAL ARTICLE
23 PAGES


SHARE
Vol.32 • No. 4 • October 2004
Back to Top