Egor D. Kosov

collaborators

5 papers

math.PR2026

Absolute continuity of two-dimensional polynomial random vectors

Egor Kosov

Let $X = {X_{j}}_{j = 1}^{\infty}$ be a sequence of independent random variables whose densities and moments of order $2 d$ are uniformly bounded. For a random vector $f(X)=(f_1(X),f_2(X)…

math.PR2026

Nondegeneracy and regularity of polynomial pushforwards

Egor Kosov, Anastasiia Zhukova

Let $I^¼$ be a log-concave probability measure on $R^{n}$ and let $f : R^{n} \to R^{k}$ be a polynomial mapping of degree at most $d$ . We show that \[ Î¼(f\in A)…

math.PR2026

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 $R^{k}$ -valued Sobolev mappings on a Gaussian space, we estimate the total variation distance between their laws…

math.CA2026

Dimension-free Markov--Bernstein inequalities for product measures

Egor Kosov

For even integer exponents $p$ , we obtain dimension-free Markov--Bernstein inequalities for polynomials with respect to product probability measures $Î¼=Î¼_1\otimes\cdots\otimesÎ¼_…

math.FA2025

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 $s$ -concave and product measures. As a consequence, we settle a conjecture of…