Vanishing transverse entropy in smooth ergodic theory

DOI10.1017/S0143385710000416zbMath1246.37041MaRDI QIDQ3018660

François Ledrappier, Jian-Sheng Xie

Publication date: 27 July 2011

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

entropymeasure-preserving transformationsmooth ergodic theory\(C^2\)-diffeomorphismsincreasing \(\sigma\)-algebra

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) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (6)

Hausdorff dimension of limit sets ⋮ Disintegrations of non‐hyperbolic ergodic measures along the center foliation of DA maps ⋮ Non-uniform measure rigidity for ℤ^{𝕜} actions of symplectic type ⋮ Measure-theoretical properties of center foliations ⋮ A new entropy formula of Ledrappier–Young type for linear toral dynamics ⋮ Unstable entropy in smooth ergodic theory ^*

Cites Work

• Smooth ergodic theory for endomorphisms
• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Dimension and product structure of hyperbolic measures
• Smooth ergodic theory of random dynamical systems
• The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
• Invariant measures for higher-rank hyperbolic abelian actions
• LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS

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