Continuity of the Hausdorff measure of continued fractions and countable alphabet iterated function systems

DOI10.5802/JTNB.938zbMATH Open1369.11057OpenAlexW2566284423MaRDI QIDQ284495

Mariusz Urbański, Anna Zdunik

Publication date: 18 May 2016

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/91d48992e5c88fc79158e72b56339bf48396c90b

zbMATH Keywords

Gauss mapHausdorff measurecontinued fractionsbounded distortioniterated function systems

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Metric theory of continued fractions (11K50)

Cites Work

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• Continuity of Hausdorff measure for conformal dynamical systems
• Continued fraction Cantor sets, Hausdorff dimension, and functional analysis
• Hausdorff and packing measure functions of self-similar sets: continuity and measurability
• Dimensions and Measures in Infinite Iterated Function Systems

Related Items (3)

The packing measure of the linear Gauss system ⋮ On the dimension spectrum of infinite subsystems of continued fractions ⋮ Synchronization is full measure for all α-deformations of an infinite class of continued fractions

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