Strong approximate transitivity, polynomial growth, and spread out random walks on locally compact groups

DOI10.2140/pjm.1995.170.517zbMath0849.60007OpenAlexW1551896212MaRDI QIDQ1919880

Wojciech Jaworski

Publication date: 7 November 1996

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

Full work available at URL: https://doi.org/10.2140/pjm.1995.170.517

zbMATH Keywords

random walkslocally compact second countable groupsChoquet-Deny theoremquasiinvariant measureabsolutely continuous compactly supported probability measure

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

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Poisson boundaries of II₁ factors ⋮ A Poisson formula for solvable Lie groups ⋮ Random walks on almost connected locally compact groups: Boundary and convergence ⋮ Kudō-continuity of conditional entropies ⋮ Asymptotic behaviors of random walks on countable groups ⋮ Stabilizers of ergodic actions of lattices and commensurators ⋮ Stabilizers of actions of lattices in products of groups ⋮ A normal subgroup theorem for commensurators of lattices ⋮ Topological automorphism groups of compact quantum groups ⋮ Absolute continuity of convolutions of orbital measures on Riemannian symmetric spaces ⋮ Convolution of orbital measures on symmetric spaces: A survey ⋮ CONVOLUTION OF ORBITAL MEASURES ON SYMMETRIC SPACES OF TYPE AND ⋮ On growth, recurrence and the Choquet-Deny theorem for \(p\)-adic Lie groups

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