Egor D. Kosov

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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…