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arXiv 2013-03-05 0 views

On the slowdown of random walk in random environment with bounded jumps

Huaming, Wang

Original · EN

In this paper we prove that under certain assumptions the transient random walk in random environment with bounded jumps (in Z) grows much slower than the speed n. Precisely, there is 0<s<1, such that although Xₙ we have Xₙnˢ'→ 0 for 0<s<s' almost surely.

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