Self-similar sets with super-exponential close cylinders

DOI10.5186/aasfm.2021.4646zbMath1484.28005arXiv2004.14037OpenAlexW3189566504WikidataQ115480208 ScholiaQ115480208MaRDI QIDQ4958734

Changhao Chen

Publication date: 15 September 2021

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.14037

zbMATH Keywords

continued fractionsself-similar setsexact overlaps

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

Cites Work

• On self-similar sets with overlaps and inverse theorems for entropy
• Multifractal measures and a weak separation condition
• On multifractal formalism for self-similar measures with overlaps
• Iterated function systems with super-exponentially close cylinders
• Super-exponential condensation without exact overlaps
• On the dimension of Bernoulli convolutions for all transcendental parameters
• HAUSDORFF DIMENSION OF SELF-SIMILAR SETS WITH OVERLAPS
• Arithmetic Properties of Bernoulli Convolutions
• Dimensions and Measures of Quasi Self-Similar Sets
• Fourier Analysis and Hausdorff Dimension
• Gibbs properties of self-conformal measures and the multifractal formalism
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