Fractal Weyl law for skew extensions of expanding maps

DOI10.1088/0951-7715/25/6/1671zbMath1291.37030arXiv1112.5109OpenAlexW2091162453MaRDI QIDQ2895584

J.-F. Arnoldi

Publication date: 3 July 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5109

zbMATH Keywords

transfer operatorssemiclassical analysisdecay of correlationspartially hyperbolic dynamical systems

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Partially hyperbolic systems and dominated splittings (37D30) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (2)

The spectral gap for transfer operators of torus extensions over expanding maps ⋮ Spectral theory of the frame flow on hyperbolic 3-manifolds

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