Central limit theorems for non-symmetric random walks on nilpotent covering graphs. I

DOI10.1214/20-EJP486zbMath1476.60067arXiv1806.03804MaRDI QIDQ2201500

Ryuya Namba, Hiroshi Kawabi, Satoshi Ishiwata

Publication date: 29 September 2020

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.03804

zbMATH Keywords

central limit theoremrough path theorynon-symmetric random walkdiscrete geometric analysisAlbanese metricnilpotent covering graphmodified harmonic realization

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Nilpotent and solvable Lie groups (22E25) Functional limit theorems; invariance principles (60F17)

Related Items

Ballistic random walks in random environment as rough paths: convergence and area anomaly ⋮ Homogenisation for anisotropic kinetic random motions ⋮ Edgeworth expansions for centered random walks on covering graphs of polynomial volume growth ⋮ 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 ⋮ Rough invariance principle for delayed regenerative processes

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