Averaged large deviations for random walk in a random environment

Atilla Yilmaz

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Diffusions in random environment and ballistic behavior

Tom Schmitz (2006)

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The infinite valley for a recurrent random walk in random environment

Nina Gantert, Yuval Peres, Zhan Shi (2010)

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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 certain limit law which describes the stationary distribution of a random walk in an infinite valley. The construction of the infinite valley goes back to Golosov, see (1984) 491–506. As a consequence, we show weak convergence for both the maximal local time and the self-intersection local time...

Limit theorems for subcritical branching processes in random environment

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