SUR LA THÉORIE SPECTRALE DES RELATIONS D’ÉQUIVALENCE MESURÉES

DOI10.1017/S1474748007000096zbMath1135.37007OpenAlexW2090729632MaRDI QIDQ5295394

Mikaël Pichot

Publication date: 30 July 2007

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1474748007000096

zbMATH Keywords

random walksamenabilityproperty Tstrong ergodicityclassification of amenable equivalence relationsHilbertian representationsspectra of diffusion operators

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30) Unitary representations of locally compact groups (22D10) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (6)

On spectra of Koopman, groupoid and quasi-regular representations ⋮ Singular measured spaces and strong ergodicity ⋮ Strong ergodicity, property (T), and orbit equivalence rigidity for translation actions ⋮ Sur les immeubles triangulaires et leurs automorphismes ⋮ Existence of quasi-periodic triangular buildings ⋮ Harmonic analysis from quasi-periodic domains

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