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

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4 papers · 1 filter

math.MG2025

On Steiner entire function

Maria Dospolova, Mikhail Germanskov, Dmitry Zaporozhets

We introduce and study the Steiner entire function, an analytic generating function for the intrinsic volumes of a convex compact set in a Hilbert space. This function extends the…

math.MG2022

Intrinsic volumes of ellipsoids

Anna Gusakova, Evgeny Spodarev, Dmitry Zaporozhets

We deduce explicit formulae for the intrinsic volumes of an ellipsoid in $R^{d}$ , $d \geq 2$ , in terms of elliptic integrals. Namely, for an ellipsoid ${\mathcal E}\subset \mat…

math.MG2020★ 4 cited

Sharp inequalities for the mean distance of random points in convex bodies

Gilles Bonnet, Anna Gusakova, Christoph Thäle +1

For a convex body $K \subset R^{d}$ the mean distance $Δ (K) = E ∣ X_{1} - X_{2} ∣$ is the expected Euclidean distance of two independent and uniformly distributed random points…

math.MG2020

Random section and random simplex inequality

Alexander E. Litvak, Dmitry Zaporozhets

Consider some convex body $K \subset R^{d}$ . Let $X_{1}, \dots, X_{k}$ , where $k \leq d$ , be random points independently and uniformly chosen in $K$ , and let $ξ_{k}$ be a uniformly dis…