Ruelle–Pollicott resonances for real analytic hyperbolic maps

DOI10.1088/0951-7715/19/6/002zbMath1190.37024arXivnlin/0601010OpenAlexW1968912041MaRDI QIDQ5488807

Frédéric Faure, Nicolas Roy

Publication date: 25 September 2006

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0601010

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum chaos (81Q50) 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 (16)

Explicit examples of resonances for Anosov maps of the torus ⋮ Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations ⋮ Generic non-trivial resonances for Anosov diffeomorphisms ⋮ Fractal Weyl law for the Ruelle spectrum of Anosov flows ⋮ Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions ⋮ Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps ⋮ Upper bound on the density of Ruelle resonances for Anosov flows ⋮ Explicit a priori bounds on transfer operator eigenvalues ⋮ The spectral gap for transfer operators of torus extensions over expanding maps ⋮ A local trace formula for Anosov flows ⋮ On the support of Pollicott-Ruelle resonant states for Anosov flows ⋮ Mathematical study of scattering resonances ⋮ The quest for the ultimate anisotropic Banach space ⋮ Complete spectral data for analytic Anosov maps of the torus ⋮ On the rate of mixing of circle extensions of Anosov maps ⋮ Eigenfunctions of the Perron–Frobenius operator and the finite-time Lyapunov exponents in uniformly hyperbolic area-preserving maps

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