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hal-00264016, version 1

Constants of concentration for a simple recurrent random walk on random environment

Pierre Andreoletti () 1

Abstract: We precise the asymptotic of the limsup of the size of the neighborhood of concentration of Sinai's walk. Also we get the almost sure limits of the number of points visited more than a fixed proportion of a given amount of time.

  • 1:  Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
  • Université d'Orléans – CNRS : UMR7349
  • Domain : Mathematics/Probability
  • Keywords : random environment – random walk – recurrent regime – local time
  • Available versions :  v1 (2008-03-13) v2 (2009-01-23)
 
  • hal-00264016, version 1
  • oai:hal.archives-ouvertes.fr:hal-00264016
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  • Submitted on: Thursday, 13 March 2008 17:30:45
  • Updated on: Thursday, 13 March 2008 17:38:47