On the asymptotic behaviour of the Lebesgue measure of sum-level sets for continued fractions

DOI10.3934/DCDS.2012.32.2437zbMath1251.37013arXiv0901.1787OpenAlexW3106085077MaRDI QIDQ432597

Bernd O. Stratmann, Marc Kesseböhmer

Publication date: 4 July 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.1787

zbMATH Keywords

phase transitionGauss mapcontinued fractionsmultifractalsintermittencyFarey sequencethermodynamical formalisminfinite ergodic theoryFarey mapStern-Brocot sequence

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fractals (28A80) Metric theory (11J83)

Related Items (3)

An effective estimate for the Lebesgue measure of preimages of iterates of the Farey map ⋮ A simple proof of the exactness of expanding maps of the interval with an indifferent fixed point ⋮ Infinite mixing for one-dimensional maps with an indifferent fixed point

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