Quantitative recurrence properties in Besicovitch-Eggleston sets

DOI10.1016/j.jmaa.2024.128654MaRDI QIDQ6612227

Unnamed Author, Junjie Shi, Jun Wu

Publication date: 30 September 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionBesicovitch-Eggleston setquantitative recurrence propertyintersection of fractals

Mathematics Subject Classification ID

Classical measure theory (28Axx) Measure-theoretic ergodic theory (28Dxx) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11Kxx)

Cites Work

• Unnamed Item
• Quantitative recurrence properties for beta-dynamical system
• On a problem of K. Mahler: Diophantine approximation and Cantor sets
• Intersecting random translates of invariant Cantor sets
• Quantitative recurrence results
• On the sum of digits of real numbers represented in the dyadic system. (On sets of fractional dimensions II.)
• A proof of Furstenberg's conjecture on the intersections of \(\times p\)- and \(\times q\)-invariant sets
• Heterogeneous ubiquitous systems in \(\mathbb R^d\) and Hausdorff dimension
• Intersections of homogeneous Cantor sets and beta-expansions
• Self-similar measures and intersections of Cantor sets
• Sets with Large Intersection Properties
• Quantitative recurrence properties and homogeneous self-similar sets
• Quantitative recurrence properties in the historic set for symbolic systems
• Dynamical Borel–Cantelli lemma for recurrence theory
• Quantitative recurrence properties for self-conformal sets
• Sets with large intersection and ubiquity
• THE FRACTIONAL DIMENSION OF A SET DEFINED BY DECIMAL PROPERTIES
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions

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