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

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

2007-02-11

arxiv.org/abs/math/0702306v3

Mathematics

Probability

This version includes an extension of the results to cover also dimensions 2,3, and also corrects several minor innacuracies.

Scientific paper

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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