Ruelle inequality relating entropy, folding entropy and negative Lyapunov exponents

DOI10.1007/s00220-003-0908-3zbMath1078.37024OpenAlexW2038946361MaRDI QIDQ1416936

Pei-Dong Liu

Publication date: 16 December 2003

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-003-0908-3

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (13)

Entropy via preimage structure ⋮ Preimage pressure, stable pressure and equilibrium states ⋮ Forward expansiveness and entropies for subsystems of \(\mathbb{Z}_+^k\)-actions ⋮ SRB measures for partially hyperbolic attractors of local diffeomorphisms ⋮ Ruelle inequality of folding type for \(C^{1+\alpha}\) maps ⋮ A new entropy formula of Ledrappier–Young type for linear toral dynamics ⋮ The metric entropy of random dynamical systems in a Banach space: Ruelle inequality ⋮ Dimension theory for invariant measures of endomorphisms ⋮ Invariant measures satisfying an equality relating entropy, folding entropy and negative Lyapunov exponents ⋮ On preimage entropy, folding entropy and stable entropy ⋮ Entropy productions in dissipative systems ⋮ The metric entropy of endomorphisms ⋮ Lower bound in Pesin formula of C ¹ interval maps*

Cites Work

• Unnamed Item
• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Positivity of entropy production in nonequilibrium statistical mechanics
• An inequality for the entropy of differentiable maps
• LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS

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