On exceptional sets in Erdős-Rényi limit theorem revisited

DOI10.1007/S00605-016-0977-YzbMath1371.28022arXiv1511.08903OpenAlexW2266895921MaRDI QIDQ521615

Yong-Cai Geng, Sumit K. Garg

Publication date: 11 April 2017

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

Full work available at URL: https://arxiv.org/abs/1511.08903

zbMATH Keywords

Hausdorff dimensionresidual setErdős-Rényi limit theoremrun-length function

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Fractals (28A80) Limit theorems in probability theory (60F99)

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 ⋮ On the intersections of the Besicovitch sets and the Erdös-Rényi sets ⋮ A note on exceptional sets in Erdős-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 Assouad dimension and arithmetic progressions in sets defined by digit restrictions ⋮ Hausdorff dimension of some sets arising by the run-length function of \(\beta\)-expansions ⋮ EXCEPTIONAL SETS RELATED TO THE RUN-LENGTH FUNCTION OF BETA-EXPANSIONS ⋮ A NOTE ON THE INTERSECTIONS OF THE BESICOVITCH SETS AND ERDŐS–RÉNYI SETS ⋮ HAUSDORFF DIMENSION OF THE EXCEPTIONAL SETS CONCERNING THE RUN-LENGTH FUNCTION OF BETA-EXPANSION ⋮ A note on the longest matching consecutive subsequence ⋮ THE EXCEPTIONAL SETS ON THE RUN-LENGTH FUNCTION OF β-EXPANSIONS ⋮ 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

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