Spectral analysis of transfer operators associated to Farey fractions

DOI10.4171/RLM/505zbMath1142.37021arXiv0708.0686MaRDI QIDQ931058

Claudio Bonanno, Stefano Isola, Sandro Graffi

Publication date: 24 June 2008

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.0686

zbMATH Keywords

Spectral theoryFarey fractionsPeriod functionsSelf-reciprocal functionsTransfer operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Farey sequences; the sequences (1^k, 2^k, dots) (11B57) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (5)

Escape Rates for the Farey Map with Approximated Holes ⋮ The Minkowski question mark function: explicit series for the dyadic period function and moments ⋮ On the leading eigenvalue of transfer operators of the Farey map with real temperature ⋮ Series expansions for Maass forms on the full modular group from the Farey transfer operators ⋮ THE MOMENTS OF MINKOWSKI QUESTION MARK FUNCTION: THE DYADIC PERIOD FUNCTION

Cites Work

• On a Hilbert space of analytic functions and an associated integral transform part I
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