Weak limits of powers of Chacon’s automorphism

DOI10.1017/ETDS.2013.49zbMath1351.37004arXiv1301.2904OpenAlexW3102233236MaRDI QIDQ5175077

Élise Janvresse, V. V. Ryzhikov, Thierry De La Rue, A. A. Prikhod'ko

Publication date: 19 February 2015

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.2904

zbMATH Keywords

Koopman operatorChacon's classical automorphism

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (4)

Weak closures of ergodic actions ⋮ A prime system with many self-joinings ⋮ Measure-preserving rank one transformations ⋮ Polyhomomorphisms of locally compact groups

Cites Work

• Chacon's automorphism has minimal self joinings
• A simple measure-preserving transformation with trivial centralizer
• Simple proofs of two results on convolutions of unimodal distributions
• On asymmetry of the future and the past for limit self-joinings

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