Rigorous dimension estimates for Cantor sets arising in Zaremba theory

DOI10.1090/conm/744/14980zbMath1447.11087OpenAlexW3016758795MaRDI QIDQ3295991

Oliver Jenkinson, Mark Pollicott

Publication date: 3 July 2020

Published in: Dynamics: Topology and Numbers (Search for Journal in Brave)

Full work available at URL: http://wrap.warwick.ac.uk/117105/13/WRAP-rigorous-dimension-estimates-Cantor-sets-arising-theory-Pollicott-2019.pdf

zbMATH Keywords

thermodynamic formalismHausdorff dimensiontransfer operatorsZaremba's conjectureHuang's theorem

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Continued fractions (11A55) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items

ZAREMBA, SALEM AND THE FRACTAL NATURE OF GHOST DISTRIBUTIONS, Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism, On the dimension spectrum of infinite subsystems of continued fractions, Hausdorff dimension estimates applied to Lagrange and Markov spectra, Zaremba theory, and limit sets of Fuchsian groups

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