The Poisson boundary of covering Markov operators

DOI10.1007/BF02808195zbMath0843.43001OpenAlexW2064047457MaRDI QIDQ1804790

Vadim A. Kaimanovich

Publication date: 5 August 1996

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02808195

zbMATH Keywords

homogeneous spacesrandom walksRiemannian manifoldsMarkov operatorslocally compact groupsBrownian motionsPoisson boundariesmeasure space\(P\)-harmonic functionscovering Markov operatorcovering measure spacedeck group

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probabilistic potential theory (60J45) Boundary theory for Markov processes (60J50) Measure algebras on groups, semigroups, etc. (43A10)

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