Scaling limits for sub-ballistic biased random walks in random conductances

Alexander Fribergh; Daniel Kious

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arXiv · 1601.00889

Scaling limits for sub-ballistic biased random walks in random conductances

Alexander Fribergh·Daniel Kious

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Abstract

We consider biased random walks in positive random conductances on the d-dimensional lattice in the zero-speed regime and study their scaling limits. We obtain a functional Law of Large Numbers for the position of the walker, properly rescaled. Moreover, we state a functional Central Limit Theorem where an atypical process, related to the Fractional Kinetics, appears in the limit.

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Alexander Fribergh, Daniel Kious. 2016-01-05. Scaling limits for sub-ballistic biased random walks in random conductances. https://arxiv.org/abs/1601.00889

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