Covering numbers of different points in Dvoretzky covering

DOI10.1016/j.bulsci.2004.05.007zbMath1068.28005OpenAlexW1996817555MaRDI QIDQ2386008

Julien Barral, Ai-Hua Fan

Publication date: 22 August 2005

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2004.05.007

zbMATH Keywords

martingalesHausdorff dimensionPoisson point processesmultifractal analysisrandom measuresrandom coveringcompound Poisson cascades

Mathematics Subject Classification ID

Martingales with continuous parameter (60G44) Random measures (60G57) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (17)

Densities of some Poisson \(\mathbf T\)-martingales and random covering numbers ⋮ 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 ⋮ Inhomogeneous random coverings of topological Markov shifts ⋮ Basic properties of critical lognormal multiplicative chaos ⋮ Trigonometric multiplicative chaos and applications to random distributions ⋮ Uniform approximation problems of expanding Markov maps ⋮ The Frisch-Parisi conjecture. I: Prescribed multifractal behavior, and a partial solution ⋮ 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 ⋮ Spatially independent martingales, intersections, and applications ⋮ Dynamical models for circle covering: Brownian motion and Poisson updating ⋮ Large deviations for the local fluctuations of random walks ⋮ On \(\mu\)-Dvoretzky random covering of the circle ⋮ Dimensions of Random Covering Sets

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