Laws of the Iterated Logarithm for random walks on Random Conductance Models

2016/04/17 by Takashi Kumagai, Kumagai, Takashi, Chikara Nakamura +1
Mathematics · Physics and Astronomy · #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math.PR

paper · pdf · doi:10.48550/arxiv.1604.04882

12 pages

openalex publication_date 2016/04/17 · arxiv created 2016/05/03 · arxiv updated 2016/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive laws of the iterated logarithm for random walks on random conductance models under the assumption that the random walks enjoy long time sub-Gaussian heat kernel estimates.

Citations

• Law of the Iterated Logarithm for the random walk on the infinite percolation cluster
• Random walks on supercritical percolation clusters
• Rate functions for random walks on Random conuctance Models and related topics

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