Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps

DOI10.1017/etds.2015.34zbMath1375.37067arXiv1302.3087OpenAlexW3099125439WikidataQ115012358 ScholiaQ115012358MaRDI QIDQ2978879

Tobias Weich, Frédéric Faure, J.-F. Arnoldi

Publication date: 2 May 2017

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3087

zbMATH Keywords

correlation functionRuelle resonanceBowen-Series mapminimal captivity

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Partially hyperbolic systems and dominated splittings (37D30) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (5)

Pollicott-Ruelle resonances for open systems ⋮ Global normal form and asymptotic spectral gap for open partially expanding maps ⋮ Flat trace statistics of the transfer operator of a random partially expanding map ⋮ The spectral gap for transfer operators of torus extensions over expanding maps ⋮ A thermodynamic formalism approach to the Selberg zeta function for Hecke triangle surfaces of infinite area

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