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

Autores: Gorbunov É.A.¹, Vorontsova E.A.²^,3, Gasnikov A.V.¹^,4
Afiliações:
1. Moscow Institute of Physics and Technology (National Research University)
2. Far Eastern Federal University
3. Université Grenoble Alpes
4. Caucasus Mathematical Center
Edição: Volume 106, Nº 1-2 (2019)
Páginas: 11-19
Seção: Article
URL: https://journals.rcsi.science/0001-4346/article/view/151800
DOI: https://doi.org/10.1134/S0001434619070022
ID: 151800

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Somente assinantes

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

concentration of measure, vector uniformly distributed on the sphere

Moscow Institute of Physics and Technology (National Research University)

Autor responsável pela correspondência
Email: ed-gorbunov@yandex.ru
Rússia, Dolgoprudnyi, Moscow Oblast, 141701

Far Eastern Federal University; Université Grenoble Alpes

Autor responsável pela correspondência
Email: vorontsovaea@gmail.com
Rússia, Vladivostok, 690950; Grenoble, 38400

Moscow Institute of Physics and Technology (National Research University); Caucasus Mathematical Center

Autor responsável pela correspondência
Email: gasnikov@yandex.ru
Rússia, Dolgoprudnyi, Moscow Oblast, 141701; Maikop, 385000

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