K. Tikhomirov

activity

20152026

most citedRandomized coverings of a convex body with its homothetic copies, and illumination

1 citations · 1 across the 9 of their papers we have counts for

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Showing 2016Show all

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math.MG2016★ 1 cited

Randomized coverings of a convex body with its homothetic copies, and illumination

Galyna Livshyts, Konstantin Tikhomirov

We present a probabilistic model of illuminating a convex body by independently distributed light sources. In addition to recovering C.A. Rogers' upper bounds for the illumination…

math.PR2016

Sample covariance matrices of heavy-tailed distributions

Konstantin Tikhomirov

Let $p > 2$ , $B \geq 1$ , $N \geq n$ and let $X$ be a centered $n$ -dimensional random vector with the identity covariance matrix such that $\sup\limits_{a\in S^{n-1}}{\mathrm E}|\langle…