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 2018Show all

3 papers · 1 filter

math.NT2018

Distribution of complex algebraic numbers on the unit circle

Friedrich Götze, Anna Gusakova, Zakhar Kabluchko +1

For $- π \leq β_{1} < β_{2} \leq π$ denote by $Φ_{β_{1}, β_{2}} (Q)$ the number of algebraic numbers on the unit circle with arguments in $[β_{1}, β_{2}]$ of degree $2 m$ and with elliptic height at most…

math.PR2018

Angles of the Gaussian simplex

Zakhar Kabluchko, Dmitry Zaporozhets

Consider a $d$ -dimensional simplex whose vertices are random points chosen independently according to the standard Gaussian distribution on $R^{d}$ . We prove that the expecte…

math.PR2018

Beta polytopes and Poisson polyhedra: $f$ -vectors and angles

Zakhar Kabluchko, Christoph Thaele, Dmitry Zaporozhets

We study random polytopes of the form $[X_{1}, \dots, X_{n}]$ defined as convex hulls of independent and identically distributed random points $X_{1}, \dots, X_{n}$ in $R^{d}$ with on…

Distribution of complex algebraic numbers on the unit circle

Angles of the Gaussian simplex

Beta polytopes and Poisson polyhedra: f-vectors and angles

Beta polytopes and Poisson polyhedra: $f$ -vectors and angles