Valleys and the Maximum Local Time for Random Walk in Random Environment
نویسندگان
چکیده
منابع مشابه
Valleys and the maximum local time for random walk in random environment
Let ξ(n, x) be the local time at x for a recurrent one-dimensional random walk in random environment after n steps, and consider the maximum ξ∗(n) = maxx ξ(n, x). It is known that lim sup n ξ∗(n)/n is a positive constant a.s. We prove that lim infn(log log logn)ξ ∗(n)/n is a positive constant a.s.; this answers a question of P. Révész (1990). The proof is based on an analysis of the valleys in ...
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2006
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-006-0005-6