On the asymptotic and invariant \(\sigma\)-algebras of random walks on locally compact groups

DOI10.1007/BF01375822zbMath0815.60063MaRDI QIDQ1346968

Wojciech Jaworski

Publication date: 30 June 1995

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

locally compact grouprandom walkasymptotic sigma-algebrainvariant sigma-algebra

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Measures on groups and semigroups, etc. (43A05) Boundary theory for Markov processes (60J50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items

A Poisson formula for solvable Lie groups, Random walks on almost connected locally compact groups: Boundary and convergence, Limit distributions of branching Markov chains, Amenability and the Liouville property

Cites Work

• Convergence of iterates of averages of certain operator representations and of convolution powers
• Random walks on discrete groups: Boundary and entropy
• Point realizations of transformation groups
• A Poisson formula for semi-simple Lie groups
• An Operator Theorem on $L_1$ Convergence to Zero with Applications to Markov Kernels
• Markov chains recurrent in the sense of Harris
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