Random walks on groups and discrete subordination

DOI10.1002/mana.201000059zbMath1251.60004OpenAlexW2015283608MaRDI QIDQ2883880

Laurent Saloff-Coste, Alexander D. Bendikov

Publication date: 14 May 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201000059

zbMATH Keywords

momentssubordinationvon Neumann algebratracerandom walkBernstein function

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Discrete-time Markov processes on general state spaces (60J05) Measures on groups and semigroups, etc. (43A05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Right processes (60J40)

Related Items (20)

Spectral properties of a class of random walks on locally finite groups ⋮ Limit theorems for random walks ⋮ Central limit theorem for the capacity of the range of stable random walks ⋮ Asymptotic behavior of densities of unimodal convolution semigroups ⋮ Transition probability estimates for subordinate random walks ⋮ Hoeffding's inequality for non-irreducible Markov models ⋮ Invariance principle for the capacity and the cardinality of the range of stable random walks ⋮ Random walks on nilpotent groups driven by measures supported on powers of generators ⋮ On two classes of reflected autoregressive processes ⋮ Harnack inequality for subordinate random walks ⋮ On subordinate random walks ⋮ Random walks driven by low moment measures ⋮ Isoperimetric inequalities for non-local Dirichlet forms ⋮ Decay of harmonic functions for discrete time Feynman--Kac operators with confining potentials ⋮ Random walks under slowly varying moment conditions on groups of polynomial volume growth ⋮ Growth of periodic Grigorchuk groups ⋮ On discrete subordination of power bounded and Ritt operators ⋮ Subgeometric rates of convergence for discrete-time Markov chains under discrete-time subordination ⋮ Super-Poincaré and Nash-type inequalities for subordinated semigroups ⋮ On massive sets for subordinated random walks

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