The spectral gap for transfer operators of torus extensions over expanding maps
DOI10.1088/1361-6544/aaea87zbMath1423.37022arXiv1503.02232OpenAlexW2906310738MaRDI QIDQ4644690
Publication date: 8 January 2019
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.02232
spectral gaptransfer operatorsemiclassical analysisKoopman operatoressential coboundarytorus extension
Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Cites Work
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- Pollicott-Ruelle resonances for open systems
- Band structure of the Ruelle spectrum of contact Anosov flows
- On mixing properties of compact group extensions of hyperbolic systems
- Exponential decay of correlations for piecewise cone hyperbolic contact flows
- Exponential mixing for the Teichmüller flow
- Banach spaces for piecewise cone-hyperbolic maps
- Partial differential equations. I: Basic theory
- Partial differential equations. II: Qualitative studies of linear equations
- On decay of correlations in Anosov flows
- Stable ergodicity of skew extensions by compact Lie groups
- Global normal form and asymptotic spectral gap for open partially expanding maps
- Exponential decay of correlations for finite horizon Sinai billiard flows
- On the smooth dependence of SRB measures for partially hyperbolic systems
- On contact Anosov flows
- Perturbation theory for linear operators.
- Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms
- Prequantum chaos: resonsances of the prequantum cat map
- Dynamical zeta functions for Anosov flows via microlocal analysis
- Exponential mixing for skew products with discontinuities
- Fractal Weyl law for skew extensions of expanding maps
- Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps
- Semiclassical origin of the spectral gap for transfer operators of a partially expanding map
- The partial captivity condition for U(1) extensions of expanding maps on the circle
- Quasi-compactness of transfer operators for contact Anosov flows
- Pseudo-Differential Operators and Symmetries
- A complex Ruelle-Perron-Frobenius theorem and two counterexamples
- On the mixing of Axiom A attracting flows and a conjecture of Ruelle
- Smooth cocycle rigidity for expanding maps, and an application to Mostow rigidity
- Stable ergodicity of skew products
- Exponential decay of correlations for surface semi-flows without finite Markov partitions
- Thermodynamic Formalism
- Semiclassical Approach for the Ruelle-Pollicott Spectrum of Hyperbolic Dynamics
- Decay of correlations in suspension semi-flows of angle-multiplying maps
- Ruelle–Pollicott resonances for real analytic hyperbolic maps
- Stable ergodicity for smooth compact Lie group extensions of hyperbolic basic sets
- An introduction to semiclassical and microlocal analysis
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