An ergodic system is dominant exactly when it has positive entropy

DOI10.1017/etds.2022.69arXiv2112.03800MaRDI QIDQ6068337

Jean-Paul Thouvenot, Benjamin Weiss, Shmuel Glasner, Tim D. Austin

Publication date: 15 December 2023

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

Full work available at URL: https://arxiv.org/abs/2112.03800

zbMATH Keywords

generic propertiesvery weak BernoulliBernoulli systemsdominant systemsrelative Bernoulli

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Ergodic theorems, spectral theory, Markov operators (37A30) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (2)

Zero entropy actions of amenable groups are not dominant ⋮ Dynamics of metrics in measure spaces and scaling entropy

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