Analytic expanding circle maps with explicit spectra

DOI10.1088/0951-7715/26/12/3231zbMath1287.37029arXiv1306.0445OpenAlexW3099259350MaRDI QIDQ5403453

Wolfram Just, Julia Slipantschuk, Oscar F. Bandtlow

Publication date: 26 March 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.0445

zbMATH Keywords

transfer operatorsanalytic expanding circle mapsMayer's conjecture

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving maps of the circle (37E10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (11)

Stability of hyperbolic Oseledets splittings for quasi-compact operator cocycles ⋮ Generic non-trivial resonances for Anosov diffeomorphisms ⋮ Dynamic mode decomposition for analytic maps ⋮ Spectral structure of transfer operators for expanding circle maps ⋮ Lower bounds for the Ruelle spectrum of analytic expanding circle maps ⋮ A numerical study of rigidity of hyperbolic splittings in simple two-dimensional maps ⋮ Stability and collapse of the Lyapunov spectrum for Perron-Frobenius operator cocycles ⋮ 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 ⋮ Locating Ruelle–Pollicott resonances*

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