Hausdorff dimension of the maximal run-length in dyadic expansion

DOI10.1007/s10587-011-0055-5zbMath1249.11085OpenAlexW2082494951MaRDI QIDQ2881218

Ruibiao Zou

Publication date: 3 April 2012

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/196705

zbMATH Keywords

Hausdorff dimensionrun-length functiondyadic expansion

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (19)

On the exceptional sets in Erdös–Rényi limit theorem of β-expansion ⋮ On the longest block in Lüroth expansion ⋮ A remark on exceptional sets in Erdös-Rényi limit theorem ⋮ Diophantine approximation and run-length function on \({\beta}\)-expansions ⋮ Maximal run-length function for real numbers in beta-dynamical system ⋮ Run-length function of the beta-expansion of a fixed real number ⋮ Maximal run-length function with constraints: a generalization of the Erdős-Rényi limit theorem and the exceptional sets ⋮ On exceptional sets in Erdős-Rényi limit theorem ⋮ Unnamed Item ⋮ On exceptional sets in Erdős-Rényi limit theorem revisited ⋮ Hausdorff dimension of some sets arising by the run-length function of \(\beta\)-expansions ⋮ A generalization of the Erdős-Rényi limit theorem and the corresponding multifractal analysis ⋮ EXCEPTIONAL SETS RELATED TO THE RUN-LENGTH FUNCTION OF BETA-EXPANSIONS ⋮ A NOTE ON THE INTERSECTIONS OF THE BESICOVITCH SETS AND ERDŐS–RÉNYI SETS ⋮ A note on the longest matching consecutive subsequence ⋮ On longest matching consecutive subsequence ⋮ Dimension of exceptional sets arising by the longest block function in Lüroth expansions ⋮ On the intersections of exceptional sets in Borel’s normal number theorem and Erdös–Rényi limit theorem ⋮ RUN-LENGTH FUNCTION FOR REAL NUMBERS IN β-EXPANSIONS

Cites Work

• Unnamed Item
• The Erdős-Rényi law in distribution, for coin tossing and sequence matching
• Exceptional times and invariance for dynamical random walks
• Egoroff's theorem and maximal run length
• Which properties of a random sequence are dynamically sensitive?
• On dynamical Gaussian random walks

This page was built for publication: Hausdorff dimension of the maximal run-length in dyadic expansion