Every Borel automorphism without finite invariant measures admits a two-set generator

DOI10.4171/JEMS/836zbMath1415.37016arXiv1508.02335OpenAlexW2963561144WikidataQ129155636 ScholiaQ129155636MaRDI QIDQ1757303

Michael Hochman

Publication date: 3 January 2019

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02335

zbMATH Keywords

entropygeneratorsergodic theoryBorel dynamics

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Symbolic dynamics (37B10) Ergodic theory (37A99) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (7)

The entropy of 𝐶¹-diffeomorphisms without a dominated splitting ⋮ Uniform generators, symbolic extensions with an embedding, and structure of periodic orbits ⋮ Symbolic extensions and uniform generators for topological regular flows ⋮ Conjugacy of transitive SFTs minus periodic points ⋮ Commutants mod normed ideals ⋮ The work of Mike Hochman on multidimensional symbolic dynamics and Borel dynamics ⋮ Measures of maximal entropy for surface diffeomorphisms

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