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hal-00011247, version 1

Hitting times for special patterns in the symmetric exclusion process on Z^d

Amine Asselah 1, Paolo Dai Pra

Annals of Probability 32, no 4 (2004) 3301-3323

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

  • 1:  Laboratoire d'Analyse, Topologie, Probabilités (LATP)
  • CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III
  • Domain : Mathematics/Probability
    Mathematics/Mathematical Physics
    Physics/Mathematical Physics
  • Comment : Published at http://dx.doi.org/10.1214/009117904000000487 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
 
  • hal-00011247, version 1
  • http://hal.archives-ouvertes.fr/hal-00011247
  • oai:hal.archives-ouvertes.fr:hal-00011247
  • From: Import arXiv <>
  • Submitted on: Thursday, 13 October 2005 22:55:51
  • Updated on: Thursday, 13 October 2005 22:55:51