Hausdorff measures and packing measures of limit sets of CIFSs of generalized complex continued fractions

DOI10.1080/10236198.2019.1709063zbMath1437.28011arXiv1812.07999OpenAlexW2999659146WikidataQ126411204 ScholiaQ126411204MaRDI QIDQ4959990

Kanji Inui, Hiroki Sumi

Publication date: 8 April 2020

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.07999

zbMATH Keywords

Hausdorff measuresfractal geometrypacking measuresinfinite conformal iterated function systemsgeneralized complex continued fractions

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fractals (28A80)

Cites Work

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• Random countable iterated function systems with overlaps and applications
• Density of repelling fixed points in the Julia set of a rational or entire semigroup. II.
• The Hausdorff dimension function of the family of conformal iterated function systems of generalized complex continued fractions
• Hausdorff Dimension of the Limit Set of Countable Conformal Iterated Function Systems with Overlaps
• Conformal iterated function systems with applications to the geometry of continued fractions
• Dimensions and Measures in Infinite Iterated Function Systems

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