Dimension of Random Limsup Sets

DOI10.1080/00029890.2019.1640528zbMath1429.28012OpenAlexW2982103729WikidataQ126978076 ScholiaQ126978076MaRDI QIDQ5238052

Fredrik Ekström

Publication date: 28 October 2019

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2019.1640528

zbMATH Keywords

metric spaceHausdorff dimensionrandom set

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Fractals (28A80)

Related Items (1)

Random covering sets in metric space with exponentially mixing property

Cites Work

• Hausdorff dimension of limsup random fractals
• Hausdorff dimension of affine random covering sets in torus
• Hitting probabilities of random covering sets in tori and metric spaces
• On the covering by small random intervals.
• Dimensions of random covering sets in Riemann manifolds
• The ergodic theory of shrinking targets
• A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
• A multifractal mass transference principle for Gibbs measures with applications to dynamical Diophantine approximation
• Sets with Large Intersection Properties
• Inhomogeneous random coverings of topological Markov shifts
• Hausdorff dimension of limsup sets of random rectangles in products of regular spaces
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
• A note on random coverings of tori

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