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

作者: Gorbunov É.A.¹, Vorontsova E.A.²^,3, Gasnikov A.V.¹^,4
隶属关系:
1. Moscow Institute of Physics and Technology (National Research University)
2. Far Eastern Federal University
3. Université Grenoble Alpes
4. Caucasus Mathematical Center
期: 卷 106, 编号 1-2 (2019)
页面: 11-19
栏目: Article
URL: https://journals.rcsi.science/0001-4346/article/view/151800
DOI: https://doi.org/10.1134/S0001434619070022
ID: 151800

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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)

编辑信件的主要联系方式.
Email: ed-gorbunov@yandex.ru
俄罗斯联邦, Dolgoprudnyi, Moscow Oblast, 141701

Far Eastern Federal University; Université Grenoble Alpes

编辑信件的主要联系方式.
Email: vorontsovaea@gmail.com
俄罗斯联邦, Vladivostok, 690950; Grenoble, 38400

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

编辑信件的主要联系方式.
Email: gasnikov@yandex.ru
俄罗斯联邦, Dolgoprudnyi, Moscow Oblast, 141701; Maikop, 385000

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