Almost sure functional central limit theorem for ballistic random walk in random environment

Details Almost sure functional central limit theorem for ballistic random walk in random environment Almost sure functional central limit theorem for ballistic random walk in random environment

2007-05-29

arxiv.org/abs/0705.4116v3

Ann. Inst. H. Poincare Probab. Statist. 45 (2009) No. 2, 373-420

Mathematics

Probability

Accepted to the Annales de l'Institut Henri Poincare

Scientific paper

We consider a multidimensional random walk in a product random environment with bounded steps, transience in some spatial direction, and high enough moments on the regeneration time. We prove an invariance principle, or functional central limit theorem, under almost every environment for the diffusively scaled centered walk. The main point behind the invariance principle is that the quenched mean of the walk behaves subdiffusively.

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