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This article is cited in 6 scientific papers (total 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. Gorbunova, E. Vorontsovabc, A. V. Gasnikovad 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.
Received: 13.04.2018
Citation:
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, 106:1 (2019), 13–23; Math. Notes, 106:1 (2019), 11–19
Linking options:
https://www.mathnet.ru/eng/mzm12041https://doi.org/10.4213/mzm12041 https://www.mathnet.ru/eng/mzm/v106/i1/p13
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Abstract page: | 440 | Full-text PDF : | 50 | References: | 55 | First page: | 18 |
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