How many intervals cover a point in Dvoretzky covering?

DOI10.1007/BF02785856zbMath1009.60003OpenAlexW2052175823MaRDI QIDQ1852719

Ai-Hua Fan

Publication date: 26 January 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02785856

zbMATH Keywords

Hausdorff dimensionrandom measurerandom sequenceDvoretzky covering

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (15)

Densities of some Poisson \(\mathbf T\)-martingales and random covering numbers ⋮ Random covering sets in metric space with exponentially mixing property ⋮ Poissonian products of random weights: uniform convergence and related measures ⋮ Covering numbers of different points in Dvoretzky covering ⋮ Dimensions of random covering sets in Riemann manifolds ⋮ Random coverings of the circle with i.i.d. centers ⋮ Covering a connected curve on the torus with squares ⋮ Trigonometric multiplicative chaos and applications to random distributions ⋮ Uniform approximation problems of expanding Markov maps ⋮ Random Covering Sets, Hitting Probabilities and Variants of the Covering Problem ⋮ Hausdorff dimension of affine random covering sets in torus ⋮ Quantitative Uniform Hitting in Exponentially Mixing Systems ⋮ Dynamical models for circle covering: Brownian motion and Poisson updating ⋮ Large deviations for the local fluctuations of random walks ⋮ Dimensions of Random Covering Sets

Cites Work

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• Positive martingales and random measures
• Covering the circle with random arcs
• ON COVERING A CIRCLE BY RANDOMLY PLACED ARCS
• Sur les dimensions de mesures
• Sur la L^p convergence des martingales liées au recouvrement
• Renewal sets and random cutouts
• Covering the line with random intervals
• How many intervals cover a point in random dyadic covering?

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