Lower bound on the Hausdorff dimension of a set of complex continued fractions

DOI10.1016/J.JMAA.2016.12.009zbMath1362.30003OpenAlexW2560630848MaRDI QIDQ504832

Amit Priyadarshi

Publication date: 17 January 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.12.009

zbMATH Keywords

spectral radiusHausdorff dimensioncontinued fractionsiterated function systemsPerron-Frobenius operators

Mathematics Subject Classification ID

Continued fractions; complex-analytic aspects (30B70) Hausdorff and packing measures (28A78)

Related Items (6)

Intermediate dimensions of infinitely generated attractors ⋮ Porosity in Conformal Dynamical Systems ⋮ The dimension spectrum of conformal graph directed Markov systems ⋮ Dimensions of new fractal functions and associated measures ⋮ Bernstein super fractal interpolation function for countable data systems ⋮ Assouad type dimensions of infinitely generated self-conformal sets

Cites Work

• Unnamed Item
• On the Hausdorff dimension of a set of complex continued fractions
• Positive operators and Hausdorff dimension of invariant sets
• Dimensions and Measures in Infinite Iterated Function Systems

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