E. A. Gorbunov, E. Vorontsova, A. V. Gasnikov, “On the Upper Bound for the Expectation of the Norm of a Vector Uniformly Distributed on the Sphere and the Phenomenon of Concentration of Uniform Measure on the Sphere”, Mat. Zametki, 2019, Volume 106, Issue 1,Pages <nobr>13

This article is cited in 6 papers

On the Upper Bound for the Expectation of the Norm of a Vector Uniformly Distributed on the Sphere and the Phenomenon of Concentration of Uniform Measure on the Sphere

E. A. Gorbunov^a, E. Vorontsova^bc, A. V. Gasnikov^ad

^a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
^b Far Eastern Federal University, Vladivostok
^c Université Grenoble Alpes
^d Caucasus Mathematical Center, Adyghe State University, Maikop

Abstract: We consider the problem of constructing upper bounds for the expectation of the norm of a vector uniformly distributed on the Euclidean unit sphere.

Keywords: concentration of measure, vector uniformly distributed on the sphere.

UDC: 519.21

Received: 13.04.2018

DOI: 10.4213/mzm12041