On Transfer Operators for Continued Fractions with Restricted Digits

DOI10.1112/S0024611502013904zbMath1038.37018OpenAlexW2123842343MaRDI QIDQ4432693

Oliver Jenkinson, Luis Felipe Gonzalez, Mariusz Urbański

Publication date: 29 October 2003

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024611502013904

zbMATH Keywords

thermodynamic formalismHausdorff dimensioncontinued fractionstransfer operator

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dimension theory of smooth dynamical systems (37C45)

Related Items (5)

Invariant densities for random continued fractions ⋮ The random continued fraction transformation ⋮ Dynamics of Ostrowski skew-product: 1. Limit laws and Hausdorff dimensions ⋮ Small quotients in Euclidean algorithms ⋮ ON THE DENSITY OF HAUSDORFF DIMENSIONS OF BOUNDED TYPE CONTINUED FRACTION SETS: THE TEXAN CONJECTURE

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