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Contractive automorphisms of locally compact groups and the concentration function problem

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Publication:1374853
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DOI10.1023/A:1022666717516zbMath0897.60009OpenAlexW194187575MaRDI QIDQ1374853

Wojciech Jaworski

Publication date: 30 September 1998

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022666717516


zbMATH Keywords

random walkslocally compact groupsconcentration functionscontractive automorphisms


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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Dissipation of convolution powers in a metric group ⋮ A Poisson formula for solvable Lie groups ⋮ Concentration functions in locally compact groups ⋮ Contraction groups, ergodicity, and distal properties of automorphisms of compact groups ⋮ Decay of concentration functions for adapted probabilities on discrete groups ⋮ Scale functions on linear groups over local skew fields ⋮ The concentration function problem for locally compact groups revisited: nondissipating space-time random walks, \(\tau\)-decomposable laws, and their continuous time analogues ⋮ Some properties of distal actions on locally compact groups



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