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

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

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Тек жазылушылар үшін

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)

Хат алмасуға жауапты Автор.
Email: ed-gorbunov@yandex.ru
Ресей, Dolgoprudnyi, Moscow Oblast, 141701

Far Eastern Federal University; Université Grenoble Alpes

Хат алмасуға жауапты Автор.
Email: vorontsovaea@gmail.com
Ресей, Vladivostok, 690950; Grenoble, 38400

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

Хат алмасуға жауапты Автор.
Email: gasnikov@yandex.ru
Ресей, Dolgoprudnyi, Moscow Oblast, 141701; Maikop, 385000

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