Long time asymptotics of non-symmetric random walks on crystal lattices

DOI10.1016/j.jfa.2016.11.011zbMath1360.60055arXiv1510.05102OpenAlexW2962853928MaRDI QIDQ502611

Hiroshi Kawabi, Satoshi Ishiwata, Motoko Kotani

Publication date: 5 January 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05102

zbMATH Keywords

asymptotic expansioncentral limit theoremcrystal latticesnon-symmetric random walk

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Convergence of probability measures (60B10)

Related Items (6)

Edgeworth expansions for centered random walks on covering graphs of polynomial volume growth ⋮ Hydrodynamic limits of interacting particle systems on crystal lattices in periodic realizations ⋮ Central limit theorems for non-symmetric random walks on nilpotent covering graphs. I ⋮ Laws of the iterated logarithm on covering graphs with groups of polynomial volume growth ⋮ Central limit theorems for non-symmetric random walks on nilpotent covering graphs. II ⋮ Long time behavior of random walks on the integer lattice

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