Email this article 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
- Authors: Gorbunov É.A.1, Vorontsova E.A.2,3, Gasnikov A.V.1,4
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Affiliations:
- Moscow Institute of Physics and Technology (National Research University)
- Far Eastern Federal University
- Université Grenoble Alpes
- Caucasus Mathematical Center
- Issue: Vol 106, No 1-2 (2019)
- Pages: 11-19
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151800
- DOI: https://doi.org/10.1134/S0001434619070022
- ID: 151800
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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.
About the authors
É. A. Gorbunov
Moscow Institute of Physics and Technology (National Research University)
Author for correspondence.
Email: ed-gorbunov@yandex.ru
Russian Federation, Dolgoprudnyi, Moscow Oblast, 141701
E. A. Vorontsova
Far Eastern Federal University; Université Grenoble Alpes
Author for correspondence.
Email: vorontsovaea@gmail.com
Russian Federation, Vladivostok, 690950; Grenoble, 38400
A. V. Gasnikov
Moscow Institute of Physics and Technology (National Research University); Caucasus Mathematical Center
Author for correspondence.
Email: gasnikov@yandex.ru
Russian Federation, Dolgoprudnyi, Moscow Oblast, 141701; Maikop, 385000
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