On Ulam approximation of the isolated spectrum and eigenfunctions of hyperbolic maps

DOI10.3934/dcds.2007.17.671zbMath1144.37037OpenAlexW2131946712WikidataQ59139610 ScholiaQ59139610MaRDI QIDQ2372666

Gary Froyland

Publication date: 1 August 2007

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

Full work available at URL: https://doi.org/10.3934/dcds.2007.17.671

zbMATH Keywords

Perron-Frobenius operatorisolated spectrumeigenfunction, almost invariant set, Ulam method, hyperbolic map

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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