Semiclassical origin of the spectral gap for transfer operators of a partially expanding map

DOI10.1088/0951-7715/24/5/005zbMath1233.37018arXiv0903.2747OpenAlexW2017009010MaRDI QIDQ3000860

Frédéric Faure

Publication date: 31 May 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.2747

zbMATH Keywords

spectral gaptransfer operatorsemiclassical analysisuniform expanding map

Mathematics Subject Classification ID

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)

Related Items (13)

Higher-dimensional attractors with absolutely continuous invariant probability ⋮ Limit theorems for fast-slow partially hyperbolic systems ⋮ Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations ⋮ Removing numerical dispersion from linear evolution equations ⋮ Quenched limit theorems for random U(1) extensions of expanding maps ⋮ Flat trace statistics of the transfer operator of a random partially expanding map ⋮ Semiclassical limits, Lagrangian states and coboundary equations ⋮ 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 ⋮ Spectra of expanding maps on Besov spaces ⋮ The spectral gap for transfer operators of torus extensions over expanding maps ⋮ Spectral theory of the frame flow on hyperbolic 3-manifolds ⋮ Quantitative statistical properties of two-dimensional partially hyperbolic systems

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