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A sharp formula for the essential spectral radius of the Ruelle transfer operator on smooth and Hölder spaces

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Publication:4438692
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DOI10.1017/S0143385702000962zbMath1140.37307OpenAlexW2078213129MaRDI QIDQ4438692

Yuri Latushkin, Gundlach, Volker Matthias

Publication date: 9 December 2003

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

Full work available at URL: https://doi.org/10.1017/s0143385702000962



Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Linear operators on function spaces (general) (47B38) 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 (5)

Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms ⋮ Discontinuities cause essential spectrum ⋮ Spectra of expanding maps on Besov spaces ⋮ A regularity result for fixed points, with applications to linear response ⋮ Ont-entropy and variational principle for the spectral radii of transfer and weighted shift operators




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