Continued fractions, Cantor sets, Hausdorff dimension, and transfer operators and their analytic extension

DOI10.3934/DCDS.2012.32.2417zbMath1287.11099OpenAlexW2334657013MaRDI QIDQ432595

Doug Hensley

Publication date: 4 July 2012

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

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.2417

zbMATH Keywords

dynamical systemsHausdorff dimensioncontinued fractionsEuclidean algorithmtransfer operatorHurwitz complex continued fractions

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions and generalizations (11J70) Metric theory of continued fractions (11K50) Evaluation of number-theoretic constants (11Y60)

Related Items (3)

The dimension spectrum of conformal graph directed Markov systems ⋮ On the dimension spectrum of infinite subsystems of continued fractions ⋮ The Role of Transfer Operators and Shifts in the Study of Fractals: Encoding-Models, Analysis and Geometry, Commutative and Non-commutative

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