The Hausdorff dimension spectrum of conformal graph directed Markov systems and applications to nearest integer continued fractions

DOI10.1016/J.JNT.2016.09.002zbMath1375.11057arXiv1505.06229OpenAlexW2963678793MaRDI QIDQ512247

Sara Munday, Mario Roy, Andrei E. Ghenciu

Publication date: 24 February 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06229

zbMATH Keywords

graph directed Markov systemsHausdorff dimension spectrumnearest integer continued fractions

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) Metric theory of continued fractions (11K50)

Related Items (4)

On the dimension spectra of infinite conformal iterated function systems ⋮ The dimension spectrum of conformal graph directed Markov systems ⋮ Dimension spectrum of infinite self-affine iterated function systems ⋮ The Hausdorff dimension spectrum of Renyi-like continued fractions

Cites Work

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• Dimension sets for infinite IFSs: the Texan conjecture
• Gauss-like continued fraction systems and their dimension spectrum
• On a family of continued fraction transformations and their ergodic properties
• Metrical theory for a class of continued fraction transformations and their natural extensions
• A polynomial time algorithm for the Hausdorff dimension of continued fraction Cantor sets
• Hausdorff Dimension in Graph Directed Constructions
• The metrical theory of continued fractions to the nearer integer
• Conformal iterated function systems with applications to the geometry of continued fractions
• Statistical Mechanics on a Compact Set with Z p Action Satisfying Expansiveness and Specification
• Dimensions and Measures in Infinite Iterated Function Systems
• Parabolic Iterated Function Systems with Applications to the Backward Continued Fractions
• ON THE DENSITY OF HAUSDORFF DIMENSIONS OF BOUNDED TYPE CONTINUED FRACTION SETS: THE TEXAN CONJECTURE
• A new class of continued fraction expansions

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