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October 2002 Regularity of quasi-stationary measures for simple exlusion in dimension d≥5
Amine Asselah, Pablo A. Ferrari
Ann. Probab. 30(4): 1913-1932 (October 2002). DOI: 10.1214/aop/1039548376

Abstract

We consider the symmetric simple exclusion process on \ZZd, for d5, and study the regularity of the quasi-stationary measures of the dynamics conditioned on not occupying the origin. For each ρ]0,1[, we establish uniqueness of the density of quasi-stationary measures in L2(d\nur), where \nur is the stationary measure of density ρ. This, in turn, permits us to obtain sharp estimates for P\nur(τ>t), where τ is the first time the origin is occupied.

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Amine Asselah. Pablo A. Ferrari. "Regularity of quasi-stationary measures for simple exlusion in dimension d≥5." Ann. Probab. 30 (4) 1913 - 1932, October 2002. https://doi.org/10.1214/aop/1039548376

Information

Published: October 2002
First available in Project Euclid: 10 December 2002

zbMATH: 1014.60089
MathSciNet: MR1944010
Digital Object Identifier: 10.1214/aop/1039548376

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

Keywords: exchange processes , hitting time , Quasi-stationary measures , Yaglom limit

Rights: Copyright © 2002 Institute of Mathematical Statistics

Vol.30 • No. 4 • October 2002
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