A quenched invariance principle for certain ballistic random walks in i.i.d. environments

Noam Berger; Ofer Zeitouni

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A quenched invariance principle for certain ballistic random walks in i.i.d. environments

Noam Berger·Ofer Zeitouni

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Abstract

We prove that every random walk in i.i.d. environment in dimension greater than or equal to 2 that has an almost sure positive speed in a certain direction, an annealed invariance principle and some mild integrability condition for regeneration times also satisfies a quenched invariance principle. The argument is based on intersection estimates and a theorem of Bolthausen and Sznitman.

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Noam Berger, Ofer Zeitouni. 2008-01-05. A quenched invariance principle for certain ballistic random walks in i.i.d. environments. https://arxiv.org/abs/math/0702306

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