Weak mixing for nonsingular Bernoulli actions of countable amenable groups

DOI10.1090/proc/14572zbMath1423.37009arXiv1807.05905OpenAlexW2963023573MaRDI QIDQ5232938

Alexandre I. Danilenko

Publication date: 13 September 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05905

zbMATH Keywords

mixingergodic theoremamenable group actionBernoulli group action

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General groups of measure-preserving transformations and dynamical systems (37A15) Nonsingular (and infinite-measure preserving) transformations (37A40)

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Ergodic cocycles of IDPFT systems and non-singular Gaussian actions ⋮ Phase transitions for non-singular Bernoulli actions ⋮ BERNOULLI ACTIONS OF TYPE III WITH PRESCRIBED ASSOCIATED FLOW ⋮ Ergodicity and type of nonsingular Bernoulli actions ⋮ On the bounded cohomology for ergodic nonsingular actions of amenable groups ⋮ Nonsingular Gaussian actions: beyond the mixing case ⋮ Nonsingular Bernoulli actions of arbitrary Krieger type ⋮ On absolutely continuous invariant measures and Krieger-type of Markov subshifts ⋮ Some factors of nonsingular Bernoulli shifts ⋮ Generic non-singular Poisson suspension is of type III₁

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