Random walks on free products

DOI10.5802/AIF.1261zbMath0725.60009OpenAlexW2127852027MaRDI QIDQ2277645

M. Gabriella Kuhn

Publication date: 1991

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1991__41_2_467_0

zbMATH Keywords

free productsirreducible representationspoint spectrumdecomposition of the regular representation

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

• Orthogonal polynomials with a constant recursion formula and an application to harmonic analysis
• Harmonic analysis on the free product of two cyclic groups
• Context-free languages and random walks on groups
• A Green's function for non-homogeneous random walks on free products
• Green functions and spectra on free products of cyclic groups
• Maximal abelian subalgebras of function algebras associated with free products
• Restrictions of the special representation of \(\text{Aut}(\text{tree}_ 3)\) to two cocompact subgroups
• Projections of uniqueness for L\(^p\)(G)
• Harmonic analysis for anisotropic random walks on homogeneous trees
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