ENTROPY OF EQUILIBRIUM MEASURES OF CONTINUOUS PIECEWISE MONOTONIC MAPS
DOI10.1142/S0219493704000894zbMath1077.37028OpenAlexW2092583873MaRDI QIDQ5701564
Publication date: 3 November 2005
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219493704000894
entropytransfer operatorsergodic theoryquasi-compactnessthermodynamical formalismequilibrium measuresone-dimensional dynamicspiecewise monotonic maps
Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving maps of the interval (37E05) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items (4)
Cites Work
- Zeta functions and transfer operators for piecewise monotone transformations
- On the rate of convergence to equilibrium in one-dimensional systems
- Piecewise invertible dynamical systems
- Generic properties of invariant measures for continuous piecewise monotonic transformations
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- Absolutely continuous invariant measures for piecewise real-analytic expanding maps on the plane
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- A Measure Associated with Axiom-A Attractors
- Specification on the interval
- Absolutely continuous invariant probability measures for arbitrary expanding piecewise $\mathbb{R}$-analytic mappings of the plane
- Piecewise expanding maps on the plane with singular ergodic properties
- No or infinitely many a. c. i. p. for piecewise expanding \(C^r\) maps in higher dimensions
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