D. Zaporozhets

activity

20112026

most citedAsymptotic distribution of complex zeros of random analytic functions

78 citations · 138 across the 27 of their papers we have counts for

collaborators

Showing 2017Show all

4 papers · 1 filter

math.PR2017★ 8 cited

Random affine simplexes

Friedrich Götze, Anna Gusakova, Dmitry Zaporozhets

For a fixed $k \in {1, \dots, d}$ consider random vectors $X_{0}, \dots, X_{k} \in R^{d}$ with an arbitrary spherically symmetric joint density function. Let $A$ be any non-singular…

math.PR2017

Expected volumes of Gaussian polytopes, external angles, and multiple order statistics

Zakhar Kabluchko, Dmitry Zaporozhets

Let $X_{1}, \dots, X_{n}$ be a standard normal sample in $R^{d}$ . We compute exactly the expected volume of the Gaussian polytope $conv [X_{1}, \dots, X_{n}]$ , the symmetric Ga…

math.PR2017

Absorption probabilities for Gaussian polytopes and regular spherical simplices

Zakhar Kabluchko, Dmitry Zaporozhets

The Gaussian polytope $P_{n, d}$ is the convex hull of $n$ independent standard normally distributed points in $R^{d}$ . We derive explicit expressions for the probabi…

math.NT2017

Joint distribution of conjugate algebraic numbers: a random polynomial approach

Friedrich Götze, Denis Koleda, Dmitry Zaporozhets

We count the algebraic numbers of fixed degree by their $w$ -weighted $l_{p}$ -norm which generalizes the naïve height, the length, the Euclidean and the Bombieri norms. For n…