Generic non-trivial resonances for Anosov diffeomorphisms

DOI10.1088/1361-6544/aa59a9zbMath1392.37022arXiv1605.06493OpenAlexW2403498273MaRDI QIDQ5346740

No author found.

Publication date: 29 May 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.06493

zbMATH Keywords

perturbationresonancetransfer operatorAnosov diffeomorphismKoopman operator

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (7)

Explicit examples of resonances for Anosov maps of the torus ⋮ Sinai billiard maps with Ruelle resonances ⋮ Complete spectral data for analytic Anosov maps of the torus ⋮ Ruelle spectrum of linear pseudo-Anosov maps ⋮ Parabolic dynamics and anisotropic Banach spaces ⋮ On the rate of mixing of circle extensions of Anosov maps ⋮ Locating Ruelle–Pollicott resonances*

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectral structure of transfer operators for expanding circle maps
• Zeta-functions for expanding maps and Anosov flows
• Meromorphic zeta functions for analytic flows
• Banach spaces adapted to Anosov systems
• Geometric and Probabilistic Structures in Dynamics
• The correlation spectrum for hyperbolic analytic maps
• Eigenfunctions for smooth expanding circle maps
• Ruelle Perron Frobenius spectrum for Anosov maps
• Generalized Fredholm determinants and Selberg zeta functions for Axiom A dynamical systems
• Complete spectral data for analytic Anosov maps of the torus
• Analytic expanding circle maps with explicit spectra
• Ruelle–Pollicott resonances for real analytic hyperbolic maps

This page was built for publication: Generic non-trivial resonances for Anosov diffeomorphisms