Random walks on almost connected locally compact groups: Boundary and convergence

DOI10.1007/BF02819452zbMath0908.60071MaRDI QIDQ1128168

Wojciech Jaworski

Publication date: 2 March 1999

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

random walkshomogeneous spacelocally compact groupsconvergence in probability\(\mu\)-harmonic functionspread out probability measure

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) General properties and structure of locally compact groups (22D05) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (3)

Shannon's theorem for locally compact groups ⋮ Boundaries of dense subgroups of totally disconnected groups ⋮ Bounded harmonic functions on connected solvable Lie groups and existence of an invariant measure

Cites Work

• A note on translation continuity of probability measures
• Amenable ergodic group actions and an application to Poisson boundaries of random walks
• Strongly approximately transitive group actions, the Choquet-Deny theorem, and polynomial growth
• On the asymptotic and invariant \(\sigma\)-algebras of random walks on locally compact groups
• The asymptotic \(\sigma\)-algebra of a recurrent random walk on a locally compact group
• Strong approximate transitivity, polynomial growth, and spread out random walks on locally compact groups
• A Poisson formula for solvable Lie groups
• Point realizations of transformation groups
• A Poisson formula for semi-simple Lie groups
• Poisson spaces of locally compact groups
• Frontière de furstenberg, propriétés de contraction et théorèmes de convergence
• On infinite products of random elements and infinite convolutions of probability distributions on locally compact groups
• Noncommuting Random Products
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