Eigenfunctions for smooth expanding circle maps

DOI10.1088/0951-7715/17/5/009zbMath1066.37024arXivmath/0405055OpenAlexW4298065352MaRDI QIDQ4667974

Hans Henrik Rugh, Gerhard Keller

Publication date: 18 April 2005

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405055

zbMATH Keywords

expandingPerron-Frobenius operatoressential spectrumcircle mapquasi-compact perturbation theory for bounded variation operators

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Dynamical systems involving maps of the circle (37E10) 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 (10)

Stability of hyperbolic Oseledets splittings for quasi-compact operator cocycles ⋮ A semi-invertible operator Oseledets theorem ⋮ Generic non-trivial resonances for Anosov diffeomorphisms ⋮ Discontinuities cause essential spectrum ⋮ Spectral structure of transfer operators for expanding circle maps ⋮ Coherent structures and isolated spectrum for Perron–Frobenius cocycles ⋮ Detecting isolated spectrum of transfer and Koopman operators with Fourier analytic tools ⋮ Stability and collapse of the Lyapunov spectrum for Perron-Frobenius operator cocycles ⋮ Multiplicative ergodic theorems for transfer operators: Towards the identification and analysis of coherent structures in non-autonomous dynamical systems ⋮ Locating Ruelle–Pollicott resonances*

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