Maximal run-length function with constraints: a generalization of the Erdős-Rényi limit theorem and the exceptional sets

DOI10.1007/S00605-023-01919-XarXiv2212.04714MaRDI QIDQ6191608

No author found.

Publication date: 9 February 2024

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.04714

zbMATH Keywords

Hausdorff dimensionLebesgue measureErdős-Rényi limit theoremdyadic expansionmaximal run-length function

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Radix representation; digital problems (11A63)

Cites Work

• Unnamed Item
• On exceptional sets in Erdős-Rényi limit theorem revisited
• On exceptional sets in Erdős-Rényi limit theorem
• Egoroff's theorem and maximal run length
• Some dimensional results for homogeneous Moran sets
• A generalization of the Erdős-Rényi limit theorem and the corresponding multifractal analysis
• Hausdorff dimension of some sets arising by the run-length function of \(\beta\)-expansions
• A remark on exceptional sets in Erdös-Rényi limit theorem
• Diophantine approximation and run-length function on \({\beta}\)-expansions
• On a new law of large numbers
• On the maximal length of consecutive zero digits of β-expansions
• Hausdorff dimension of the maximal run-length in dyadic expansion
• On the exceptional sets in Erdös–Rényi limit theorem of β-expansion
• A result on the maximal length of consecutive 0 digits in β-expansions
• Maximal run-length function for real numbers in beta-dynamical system

This page was built for publication: Maximal run-length function with constraints: a generalization of the Erdős-Rényi limit theorem and the exceptional sets