Geodesic
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
Matematičeskie zametki, Tome 106 (2019) no. 1, pp. 13-23

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MZM_2019_106_1_a1,
     author = {E. A. Gorbunov and E. Vorontsova and A. V. Gasnikov},
     title = {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}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {13--23},
     publisher = {mathdoc},
     volume = {106},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_106_1_a1/}
}
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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. Matematičeskie zametki, Tome 106 (2019) no. 1, pp. 13-23. http://geodesic.mathdoc.fr/item/MZM_2019_106_1_a1/