A Quenched Invariance Principle for Certain Ballistic Random Walks in I.i.d. Environments
نویسنده
چکیده
ABSTRACT. We prove that every nearest neighbor random walk in i.i.d. environment in dimension greater than or equal to 4 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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