The Ruelle spectrum of generic transfer operators

DOI10.3934/DCDS.2012.32.2521zbMath1271.37029OpenAlexW2331151923MaRDI QIDQ432602

Frédéric Naud

Publication date: 4 July 2012

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

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.2521

zbMATH Keywords

potential theorytransfer operatorsdecay of correlationholomorphic function spacesPerron-Frobenius operatorsRuelle eigenvalues

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (6)

Explicit examples of resonances for Anosov maps of the torus ⋮ Complete spectral data for analytic Anosov maps of the torus ⋮ Transfer operators for ultradifferentiable expanding maps of the circle ⋮ Ruelle spectrum of linear pseudo-Anosov maps ⋮ The Role of Transfer Operators and Shifts in the Study of Fractals: Encoding-Models, Analysis and Geometry, Commutative and Non-commutative ⋮ Locating Ruelle–Pollicott resonances*

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