On the non-equivalence of the Bernoulli and \(K\) properties in dimension four

DOI10.3934/jmd.2018019zbMath1407.37062arXiv1612.02754OpenAlexW2905744055MaRDI QIDQ1717648

Federico Rodriguez Hertz, Adam Kanigowski, Kurt Vinhage

Publication date: 8 February 2019

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.02754

zbMATH Keywords

skew productsBernoulli systems\(K\)-property

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items

Bernoulli property for certain skew products over hyperbolic systems, Mixing properties of generalized \(T,T^{-1}\) transformations, Slow entropy for some smooth flows on surfaces, Flexibility of statistical properties for smooth systems satisfying the central limit theorem, The K-property for some unique equilibrium states in flows and homeomorphisms, Real-analytic realization of uniform circular systems and some applications, Bernoulli property of subadditive equilibrium states, Bernoulli property of equilibrium states for certain partially hyperbolic diffeomorphisms, Equilibrium states for self‐products of flows and the mixing properties of rank 1 geodesic flows, On the Bernoulli property for certain partially hyperbolic diffeomorphisms

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