11 citations · 14 across the 9 of their papers we have counts for
9 papers
Absolute continuity of two-dimensional polynomial random vectors
Egor Kosov
Let be a sequence of independent random variables whose densities and moments of order are uniformly bounded. For a random vector $f(X)=(f_1(X),f_2(X)…
Nondegeneracy and regularity of polynomial pushforwards
Egor Kosov, Anastasiia Zhukova
Let be a log-concave probability measure on and let be a polynomial mapping of degree at most . We show that \[ μ(f\in A) \l…
Estimates of the total variation distance between laws of Sobolev mappings on Gaussian spaces
Egor Kosov, Anastasiia Zhukova
Under small-ball bounds for the Malliavin determinants of two -valued Sobolev mappings on a Gaussian space, we estimate the total variation distance between their laws…
Dimension-free Markov--Bernstein inequalities for product measures
Egor Kosov
For even integer exponents , we obtain dimension-free Markov--Bernstein inequalities for polynomials with respect to product probability measures .…
Oscillatory integrals with polynomial phase and regularity of distributions
Egor Kosov
We obtain dimension-free estimates for the modulus of continuity of densities of polynomial images of -concave and product measures. As a consequence, we settle a conjecture of…
Improved bounds for the total variation distance between stochastic polynomials
Egor Kosov, Anastasia Zhukova
The paper studies upper bounds for the total variation distance between two polynomials of a special form in random vectors satisfying the Doeblin-type condition. Our approach is b…
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…
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…
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…