Upper limits of Sinai's walk in random scenery

Olivier Zindy

Stochastic Processes and their Applications, 2008, vol. 118, issue 6, 981-1003

Abstract: We consider Sinai's walk in i.i.d. random scenery and focus our attention on a conjecture of Révész concerning the upper limits of Sinai's walk in random scenery when the scenery is bounded from above. A close study of the competition between the concentration property for Sinai's walk and negative values for the scenery enables us to prove that the conjecture is true if the scenery has "thin" negative tails and is false otherwise.

Keywords: Random; walk; in; random; environment; Random; scenery; Localization; Concentration; property (search for similar items in EconPapers)
Date: 2008
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