Quenched invariance principle for biased random walks in random conductances in the sub-ballistic regime

Alexander Fribergh; Tanguy Lions; Carlo Scali

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arXiv · 2210.07825

Quenched invariance principle for biased random walks in random conductances in the sub-ballistic regime

Alexander Fribergh·Tanguy Lions·Carlo Scali

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Abstract

We consider a biased random walk in positive random conductances on $\mathbb{Z}^d$ for $d\geq 5$. In the sub-ballistic regime, we prove the quenched convergence of the properly rescaled random walk towards a Fractional Kinetics.

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Alexander Fribergh, Tanguy Lions, Carlo Scali. 2022-10-14. Quenched invariance principle for biased random walks in random conductances in the sub-ballistic regime. https://arxiv.org/abs/2210.07825

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