The metric entropy of endomorphisms
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Publication:1048109
DOI10.1007/S00220-009-0859-4zbMath1196.37017OpenAlexW1967864064MaRDI QIDQ1048109
Publication date: 11 January 2010
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-009-0859-4
Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)
Related Items (13)
Entropy via preimage structure ⋮ Ergodic properties for some non-expanding non-reversible systems ⋮ 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 ⋮ Smooth ergodic theory of \(\mathbb{Z}^d \)-actions ⋮ Preimage entropy and stable entropy on subsets ⋮ 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 ⋮ On some coding and mixing properties for a class of chaotic systems ⋮ Dimension theory for invariant measures of endomorphisms ⋮ On preimage entropy, folding entropy and stable entropy
Cites Work
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- Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
- Positivity of entropy production in nonequilibrium statistical mechanics
- Dimension and product structure of hyperbolic measures
- Ruelle inequality relating entropy, folding entropy and negative Lyapunov exponents
- Smooth ergodic theory of random dynamical systems
- SRB measures and Pesin’s entropy formula for endomorphisms
- A proof of Pesin's formula
- Ergodic theory for axiom A endomorphisms
- Ergodic theory of chaos and strange attractors
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