K. Tikhomirov

activity

20122026

most citedOn the spectral radius of a random matrix: an upper bound without fourth moment

25 citations · 89 across the 31 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.FA2019

Hypercontractivity and Lower Deviation Estimates in Normed Spaces

Grigoris Paouris, Konstantin Tikhomirov, Petros Valettas

We consider the problem of estimating small ball probabilities $P {f (G) ⩽ δ E f (G)}$ for sub-additive,positively homogeneous functions $f$ with respect to th…

math.FA2017

The variance of the $ℓ_{p}^{n}$ -norm of the Gaussian vector, and Dvoretzky's theorem

Anna Lytova, Konstantin Tikhomirov

Let $n$ be a large integer, and let $G$ be the standard Gaussian vector in $R^{n}$ . Paouris, Valettas and Zinn (2015) showed that for all $p \in [1, c lo g n]$ , the variance of the $\ell…

math.FA2012

New examples of K-monotone weighted Banach couples

Sergey V. Astashkin, Lech Maligranda, Konstantin E. Tikhomirov

Some new examples of K-monotone couples of the type (X, X(w)), where X is a symmetric space on [0, 1] and w is a weight on [0, 1], are presented. Based on the property of the w-dec…

Hypercontractivity and Lower Deviation Estimates in Normed Spaces

The variance of the ℓpn​-norm of the Gaussian vector, and Dvoretzky's theorem

New examples of K-monotone weighted Banach couples

The variance of the $ℓ_{p}^{n}$ -norm of the Gaussian vector, and Dvoretzky's theorem