The almost Borel structure of surface diffeomorphisms, Markov shifts and their factors

DOI10.4171/JEMS/727zbMath1377.37017arXiv1409.7330MaRDI QIDQ2403283

Jérôme Buzzi, Mike Boyle

Publication date: 8 September 2017

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

Full work available at URL: https://arxiv.org/abs/1409.7330

zbMATH Keywords

entropyBorel isomorphismsymbolic dynamicsuniversalityergodic theoryMarkov shiftsurface diffeomorphism

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Symbolic dynamics (37B10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (8)

Summable orbits ⋮ In memoriam: Roy Adler (1931--2016) and the lasting impact of his work ⋮ Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds ⋮ The degree of Bowen factors and injective codings of diffeomorphisms ⋮ Every Borel automorphism without finite invariant measures admits a two-set generator ⋮ The work of Mike Hochman on multidimensional symbolic dynamics and Borel dynamics ⋮ Measures of maximal entropy for surface diffeomorphisms ⋮ Symbolic dynamics for non-uniformly hyperbolic systems

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