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Conditional and uniform quenched CLTs for one-dimensional random walks among random conductances
one-dimensional random walks random conductances
2010/11/11
We study a one-dimensional random walk among random conductances, with unbounded jumps. Assuming the ergodicity of the collection of conductances and a few other technical conditions (uniform elliptic...
A Log-scale Limit Theorem for One-dimensional Random Walks in Random Environments
RWRE limit theorems branching large deviations
2009/4/27
We consider a transient one-dimensional random walk X_n in random environment having zero asymptotic speed. For a class of non-i.i.d. environments we show that log X_n / log n converges in probability...