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

2022/10/14 by Alexander Fribergh, Fribergh, Alexander, Tanguy Lions +3 · 1 citation
Mathematics · Physics and Astronomy · #60F17 #60G22 #60K37 #60K50 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2210.07825

openalex publication_date 2022/10/14 · openalex created_date 2022/10/19 · openalex updated_date 2026/07/28

Abstract

We consider a biased random walk in positive random conductances on ℤ^d for d≥ 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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