Stability and instability of local time of 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: Stochastic Processes and their Applications
سال: 1987
ISSN: 0304-4149
DOI: 10.1016/0304-4149(87)90197-9