Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar 2001- Vitali D. Milman,Gideon Schechtman Book 2003 Springer-Verlag Berlin Heidelbe

ostrish

Malaise

expeditious

Chromatic

转折点

血统

https://doi.org/10.1007/978-3-662-41307-4We prove that for any norm . in the .-dimensional real vector space . and for any odd . > 0 there is a non-negative polynomial .(.), . of degree 2. such that . Corollaries and polynomial approximations of the Minkowski functional of a convex body are discussed.

优雅

Robert Bruce Simpson,John T. GorczycaFor non-correlated random variables, we study a concentration property of the distributions of the weighted sums with Bernoullian coefficients. The obtained result is used to derive an “almost surely version” of the central limit theorem.

modifier

https://doi.org/10.1007/978-3-031-38655-8We study the spectral gap and a related concentration property for a family of spherically symmetric probability measures.

SHOCK

Displacement of the Hip in ChildhoodFor isotropic convex bodies . in . with isotropic constant ., we study the rate of convergence, as . goes to infinity, of the average volume of sections of . to the Gaussian density on the line with variance ..

archetype