Ergodicité et pureté des produits de Riesz. (Ergodicity and purity of Riesz products)

DOI10.5802/aif.1218zbMath0687.43001OpenAlexW2327856288MaRDI QIDQ1263031

François Parreau

Publication date: 1990

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1990__40_2_391_0

zbMATH Keywords

purityergodic measuresRiesz productslacunarity conditionpure measure

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Measures on groups and semigroups, etc. (43A05) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Lacunary series of trigonometric and other functions; Riesz products (42A55)

Related Items

An approximate formula for the dimension of certain Riesz products, Non singular transformations and spectral analysis of measures, Random $p$-adic Riesz products: Continuity, singularity, and dimension, Rank one transformations with singular spectral type, IP-rigidity and eigenvalue groups, Unimodular eigenvalues, uniformly distributed sequences and linear dynamics, Some remarks on \(p\)-adic Riesz products, Groups of quasi-invariance and the Pontryagin duality, The almost sure mutual singularity of the spectrum of Ornstein transformations, Riesz products on the ring of dyadic integers, Some properties of Riesz products on the ring of \(p\)-adic integers

Cites Work

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• On Riesz product measures; mutual absolute continuity and singularity
• L _∞ Eigenvalues and L ₂ Spectra of Non-Singular Transformations
• Riesz Products and Generalized Characters
• Sur les $C^*$-algèbres