Generalized dual Sudakov minoration via dimension-reduction—a program

DOI10.4064/sm170519-1-9zbMath1431.52009arXiv1610.09287OpenAlexW2801962982WikidataQ129717303 ScholiaQ129717303MaRDI QIDQ4963325

Shahar Mendelson, Emanuel Milman, Grigoris Paouris

Publication date: 1 November 2018

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.09287

zbMATH Keywords

convex bodieslog-concave measuresdimension-reductionSudakov minorationpacking and covering numbers

Mathematics Subject Classification ID

Gaussian processes (60G15) 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 (3)

Minoration via mixed volumes and Cover's problem for general channels ⋮ Sudakov-type minoration for log-concave vectors ⋮ Infinite-dimensional stochastic transforms and reproducing kernel Hilbert space

Cites Work

• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• Quermassintegrals of a random polytope in a convex body
• Further Unifying Two Approaches to the Hyperplane Conjecture
• On the Mean-Width of Isotropic Convex Bodies and their Associated Lp-Centroid Bodies
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