Two notes on measure-theoretic entropy of random dynamical systems

DOI10.1007/s10114-009-7206-8zbMath1185.37012OpenAlexW2132050972MaRDI QIDQ1034319

Yu Jun Zhu

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-7206-8

zbMATH Keywords

local entropyrandom dynamical systemspanning setmeasure-theoretic entropy

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Random dynamical systems (37H99)

Related Items (16)

Time-restricted sensitivity and entropy for random dynamical systems ⋮ Remarks on topological entropy of random dynamical systems ⋮ On the induced measure-theoretic entropy for random dynamical systems ⋮ Topological \(r\)-entropy and measure theoretic \(r\)-entropy of flows ⋮ Entropy formulae of conditional entropy in mean metrics ⋮ Formulae of volume growth for random Anosov diffeomorphisms ⋮ Topological \(r\)-entropy and measure theoretic \(r\)-entropy for amenable group actions ⋮ Localized topological pressure for random dynamical systems ⋮ Rotation sets and rotational entropy for random dynamical systems on the torus ⋮ Brin-Katok formula for the measure theoretic \(r\)-entropy ⋮ Estimation of topological entropy in random dynamical systems ⋮ Pseudo-random endomorphisms in projective spaces. II ⋮ Measure-theoretic pressure and topological pressure in mean metrics ⋮ Remarks on metric entropy of random \({\mathbb{Z}}^2\) actions on a non-compact space ⋮ Entropies of random transformations on a non-compact space ⋮ The Brin–Katok formula for dynamical systems admitting mistakes

Cites Work

• Definition of measure-theoretic pressure using spanning sets
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Smooth ergodic theory of random dynamical systems
• Dynamics of random transformations: smooth ergodic theory
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