ON POINTS WITH POSITIVE DENSITY OF THE DIGIT SEQUENCE IN INFINITE ITERATED FUNCTION SYSTEMS

DOI10.1017/S1446788716000288zbMath1428.11141OpenAlexW2510580111MaRDI QIDQ5273452

Chun-Yun Cao, Zhen-Liang Zhang

Publication date: 6 July 2017

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788716000288

zbMATH Keywords

Hausdorff dimensioninfinite iterated function systemsBanach density

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80)

Related Items (1)

Hausdorff dimension of certain sets arising in Engel continued fractions

Cites Work

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• On points contain arithmetic progressions in their Lüroth expansion
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• The primes contain arbitrarily long arithmetic progressions
• The growth speed of digits in infinite iterated function systems
• On the frequency of partial quotients of regular continued fractions
• Dimension of some non-normal continued fraction sets
• How many points contain arithmetic progressions in their continued fraction expansion?
• Increasing digit subsystems of infinite iterated function systems

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