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.
O.Z. was partically supported by NSF grant DMS-0503775, N.B. was partially supported by NSF grant DMS-0707226.
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© 2008 Birkhäuser Verlag Basel/Switzerland
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Berger, N., Zeitouni, O. (2008). A Quenched Invariance Principle for Certain Ballistic Random Walks in i.i.d. Environments. In: Sidoravicius, V., Vares, M.E. (eds) In and Out of Equilibrium 2. Progress in Probability, vol 60. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8786-0_7
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DOI: https://doi.org/10.1007/978-3-7643-8786-0_7
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