Discrete fractal dimensions of the ranges of random walks in \(\mathbb Z^d\) associate with random conductances

DOI10.1007/s00440-012-0418-3zbMath1294.60121arXiv1110.0581OpenAlexW2108810745MaRDI QIDQ1955838

Yimin Xiao, Xinghua Zheng

Publication date: 19 June 2013

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0581

zbMATH Keywords

random conductance modeldiscrete Hausdorff dimensiondiscrete packing dimensionBouchoud's trap modelset of visited sites

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (2)

Potential method and projection theorems for macroscopic Hausdorff dimension ⋮ On sojourn of Brownian motion inside moving boundaries

Cites Work

• Invariance principle for the random conductance model
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• Wiener's test and Markov chains
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• Defining Fractal Subsets of Z ^d
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• Markov Chains
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• Random walks in a random environment
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