Isomorphism and embedding of Borel systems on full sets

DOI10.1007/s10440-013-9813-8zbMath1339.37007OpenAlexW2091931041MaRDI QIDQ368692

Michael Hochman

Publication date: 23 September 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-013-9813-8

zbMATH Keywords

Borel dynamicsentropy conjugacyisomorphism of dynamical systems

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40)

Related Items (15)

The entropy of 𝐶¹-diffeomorphisms without a dominated splitting ⋮ The almost Borel structure of surface diffeomorphisms, Markov shifts and their factors ⋮ Embedding asymptotically expansive systems ⋮ Erratum to: Isomorphism and embedding of Borel systems on full sets ⋮ 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 ⋮ In memoriam: Roy Adler (1931--2016) and the lasting impact of his work ⋮ Topological and almost Borel universality for systems with the weak specification property ⋮ On distance sets, box-counting and Ahlfors-regular sets ⋮ Every Borel automorphism without finite invariant measures admits a two-set generator ⋮ The work of Mike Hochman on multidimensional symbolic dynamics and Borel dynamics ⋮ Ergodic universality of some topological dynamical systems ⋮ Measures of maximal entropy for surface diffeomorphisms ⋮ Bowen’s entropy-conjugacy conjecture is true up to finite index

Cites Work

• Measurable recurrence and quasi-invariant measures
• Ergodic theory on compact spaces
• Intrinsic ergodicity of smooth interval maps
• Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
• Subshifts of quasi-finite type
• \(\beta\)-expansions and symbolic dynamics
• Mixing Markov shifts of kernel type are Bernoulli
• Almost isomorphism for countable state Markov shifts
• Measurable dynamics
• Topological entropy and equivalence of dynamical systems
• An Introduction to Symbolic Dynamics and Coding
• Topological Entropy for Noncompact Sets
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