Escape rates and Perron-Frobenius operators: open and closed dynamical systems

DOI10.3934/dcdsb.2010.14.457zbMath1213.37012OpenAlexW1986893967WikidataQ59139584 ScholiaQ59139584MaRDI QIDQ1956542

Ognjen Stancevic, Gary Froyland

Publication date: 22 September 2010

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2010.14.457

zbMATH Keywords

Perron-Frobenius operatortopological entropyopen dynamical systemescape ratealmost-invariant set

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Topological entropy (37B40) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

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