3 papers
math.PR2021
Bounds for the total variation distance between second degree polynomials in normal random variables
Egor Kosov
In this paper we study bounds for the total variation distance between two second degree polynomials in normal random variables provided that they essentially depend on at least th…
math.FA2020
Marcinkiewicz-type discretization of -norms under the Nikolskii-type inequality assumption
Egor Kosov
The paper studies the sampling discretization problem for integral norms on subspaces of . Several close to optimal results are obtained on subspaces for which certain Niko…
math.PR2018
Total variation distance estimates via -norm for polynomials in log-concave random vectors
Egor Kosov
The paper provides an estimate of the total variation distance between distributions of polynomials defined on a space equipped with a logarithmically concave measure in terms of t…