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On the upper bound for the mathematical expectation of the norm of a vector uniformly distributed on the sphere and the phenomenon of concentration of uniform measure on the sphere
Eduard Gorbunov, Evgeniya Vorontsova, Alexander Gasnikov
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We considered the problem of obtaining upper bounds for the mathematical expectation of the q-norm (2⩽q ⩽∞) of the vector which is uniformly distributed on the unit Euclidean sphere. We finish the paper with numerical experiments illustrating our results.
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