Towards a complete determination of the spectrum of a transfer operator associated with intermittency

DOI10.1088/0305-4470/36/10/306zbMath1064.37018arXivnlin/0108044OpenAlexW1967454641MaRDI QIDQ4807132

Thomas Prellberg

Publication date: 13 July 2003

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0108044

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving maps of the interval (37E05) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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An effective estimate for the Lebesgue measure of preimages of iterates of the Farey map ⋮ Statistical distribution of the Stern sequence ⋮ Anomalous deterministic transport ⋮ Generalized Farey trees, transfer operators and phase transitions ⋮ Generalized number theoretic spin chain-connections to dynamical systems and expectation values ⋮ A thermodynamic classification of real numbers ⋮ Cluster approximation for the Farey fraction spin chain ⋮ On the leading eigenvalue of transfer operators of the Farey map with real temperature ⋮ PRECISE CALCULATION OF HAUSDORFF DIMENSION OF APOLLONIAN GASKET

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