This book is a continuation of Asymptotic Geometric Analysis, Part I, which was published as
volume 202 in this series. Asymptotic geometric analysis studies properties of geometric …

The study of high-dimensional convex bodies from a geometric and analytic point of view,
with an emphasis on the dependence of various parameters on the dimension stands at the …

We show that there exists a sequence \varepsilon_n\searrow0 for which the following holds:
Let K⊂ ℝ n be a compact, convex set with a non-empty interior. Let X be a random vector …

Concentration and Gaussian Approximation for Randomized Sums Page 1 Probability Theory
and Stochastic Modelling 104 Sergey Bobkov Gennadiy Chistyakov Friedrich Götze …

Spectral Gap and Concentration for Some Spherically Symmetric Probability Measures Page
1 Spectral Gap and Concentration for Some Spherically Symmetric Probability Measures …

On the Central Limit Property of Convex Bodies Page 1 On the Central Limit Property of Convex
Bodies SG Bobkov 1⋆ and A. Koldobsky 2⋆⋆ 1 School of Mathematics, University of …

The paper provides a description of the large deviation behavior for the Euclidean norm of
projections of ℓ p n-balls to high-dimensional random subspaces. More precisely, for each …

Motivated by the central limit problem for convex bodies, we study normal approximation of
linear functionals of high-dimensional random vectors with various types of symmetries. In …

Concentration of Normalized Sums and a Central Limit Theorem for Noncorrelated Random
Variables Page 1 The Annals of Probability 2004, Vol. 32, No. 4, 2884-2907 DOI 10.1214/009117904000000720 …

We prove Gaussian approximation theorems for specific $ k $-dimensional marginals of
convex bodies which possess certain symmetries. In particular, we treat bodies which …