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

Abstract

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.

Accepted to the Annales de l'Institut Henri Poincare

References in corpus (3)

• An almost sure invariance principle for random walks in a space-time random environment
• Ballistic Random Walk in a Random Environment with a Forbidden Direction
• Quenched invariance principle for multidimensional ballistic random walk in a random environment with a forbidden direction

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