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

代替

Gossamer

ECG769

BLAND

Approximating a Norm by a Polynomial,We 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.

姑姑在炫耀

Concentration of Distributions of the Weighted Sums with Bernoullian Coefficients,For 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.

拱形大桥

Spectral Gap and Concentration for Some Spherically Symmetric Probability Measures,We study the spectral gap and a related concentration property for a family of spherically symmetric probability measures.

保守

On the Central Limit Property of Convex Bodies,For 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 ..

肉体

apropos

最有利

On ,-Pseudostable Random Variables, Rosenthal Spaces and , Ball Slicing,We introduce the class of .-pseudostable random variables and investigate some of their properties. Short notes concerning embedding Rosenthal-type spaces into .(0,1) and hyperplane sections of the unit ball of . are added.