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most citedValleys and the maximum local time for random walk in random environment

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math.PR2007

The infinite valley for a recurrent random walk in random environment

Nina Gantert, Yuval Peres, Zhan Shi

We consider a one-dimensional recurrent random walk in random environment (RWRE). We show that the - suitably centered - empirical distributions of the RWRE converge weakly to a ce…