Almost sure functional central limit theorem for non-nestling random walk in random environment

Details Almost sure functional central limit theorem for non-nestling random walk in random environment Almost sure functional central limit theorem for non-nestling random walk in random environment

2007-04-09

arxiv.org/abs/0704.1022v2

Mathematics

Probability

54 pages. Small edits in text

Scientific paper

We consider a non-nestling random walk in a product random environment. We assume an exponential moment for the step of the walk, uniformly in the environment. We prove an invariance principle (functional central limit theorem) under almost every environment for the centered and diffusively scaled walk. The main point behind the invariance principle is that the quenched mean of the walk behaves subdiffusively.

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