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arXiv · 1711.01258

On the Transient (T) condition for Random Walk in Strong Mixing Environment

E. Guerra
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Abstract

We prove a ballistic strong law of large numbers and an invariance principle for random walks in strong mixing environments, under condition $(T)$ of Sznitman (cf. \cite{Sz01}). This weakens by first time the Kalikow ballistic assumption in mixing and proves finite moments of arbitrary order for the approximate regeneration time of \cite{CZ02}. The main technical tool in the proof is the introduction of renormalization schemes, which had only been considered for i.i.d. environments.

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E. Guerra. 2017-11-03. On the Transient (T) condition for Random Walk in Strong Mixing Environment. https://doi.org/10.1214/18-aop1330

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