Variance estimates and almost Euclidean structure
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Publication:2424559
DOI10.1515/advgeom-2018-0030zbMath1425.46006arXiv1703.10244OpenAlexW2964161470MaRDI QIDQ2424559
Petros Valettas, Grigoris Paouris
Publication date: 25 June 2019
Published in: Advances in Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.10244
Local theory of Banach spaces (46B07) Probabilistic methods in Banach space theory (46B09) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Asymptotic theory of convex bodies (52A23)
Related Items (8)
Improved one-sided deviation inequalities under regularity assumptions for product measures ⋮ Hypercontractivity and lower deviation estimates in normed spaces ⋮ A sharp lower-tail bound for Gaussian maxima with application to bootstrap methods in high dimensions ⋮ Tail bounds for sums of independent two-sided exponential random variables ⋮ Threshold for the expected measure of random polytopes ⋮ The variance of the $\ell _p^n$-norm of the Gaussian vector, and Dvoretzky’s theorem ⋮ On a quantitative reversal of Alexandrov’s inequality ⋮ On the tightness of Gaussian concentration for convex functions
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