Bounding the Norm of a Log-Concave Vector Via Thin-Shell Estimates
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Publication:5255115
DOI10.1007/978-3-319-09477-9_9zbMath1366.60054arXiv1306.3696OpenAlexW1858644816MaRDI QIDQ5255115
Publication date: 11 June 2015
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.3696
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A simple approach to chaos for \(p\)-spin models ⋮ On a multi-integral norm defined by weighted sums of log-concave random vectors ⋮ Optimal Concentration of Information Content for Log-Concave Densities ⋮ Convex geometry and its connections to harmonic analysis, functional analysis and probability theory ⋮ Eldan's stochastic localization and tubular neighborhoods of complex-analytic sets ⋮ An extremal property of the normal distribution, with a discrete analog ⋮ A two-sided estimate for the Gaussian noise stability deficit ⋮ Convex geometry and waist inequalities ⋮ An almost constant lower bound of the isoperimetric coefficient in the KLS conjecture ⋮ Bourgain's slicing problem and KLS isoperimetry up to polylog
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- Thin shell implies spectral gap up to polylog via a stochastic localization scheme
- A stability result for mean width of \(L_{p}\)-centroid bodies
- A central limit theorem for convex sets
- Approximately gaussian marginals and the hyperplane conjecture
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- Optimal Transport
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