A note on random coverings of tori

DOI10.1112/blms/bdu087zbMath1320.60036arXiv1307.1455OpenAlexW2042562962MaRDI QIDQ5173342

Tomas Persson

Publication date: 9 February 2015

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1455

Mathematics Subject Classification ID

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

Related Items (15)

Random covering sets in metric space with exponentially mixing property ⋮ A mass transference principle and sets with large intersections ⋮ Dimensions of random covering sets in Riemann manifolds ⋮ Inhomogeneous random coverings of topological Markov shifts ⋮ A general mass transference principle ⋮ Random Covering Sets, Hitting Probabilities and Variants of the Covering Problem ⋮ Hausdorff dimension of limsup sets of random rectangles in products of regular spaces ⋮ On shrinking targets for piecewise expanding interval maps ⋮ Hausdorff dimension of limsup sets of rectangles in the Heisenberg group ⋮ Mass transference principle from rectangles to rectangles in Diophantine approximation ⋮ Projections of random covering sets ⋮ Dimensions of Random Covering Sets ⋮ Dimension of Random Limsup Sets ⋮ The Mass Transference Principle: Ten years on ⋮ Inhomogeneous potentials, Hausdorff dimension and shrinking targets

Cites Work

• Hausdorff dimension of affine random covering sets in torus
• On Randomly Placed Arcs on the Circle
• Sets with Large Intersection Properties
• A Frostman-Type Lemma for Sets with Large Intersections, and an Application to Diophantine Approximation

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