A thermodynamic approach to two-variable Ruelle and Selberg zeta functions via the Farey map

DOI10.1088/0951-7715/27/5/897zbMath1312.37020arXiv0907.1471OpenAlexW2964064642MaRDI QIDQ5419592

Claudio Bonanno, Stefano Isola

Publication date: 10 June 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.1471

zbMATH Keywords

thermodynamic approachzeta functionstransfer operatorsFarey map

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (3)

Dynamics of a family of continued fraction maps ⋮ 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

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