78 citations · 138 across the 27 of their papers we have counts for
5 papers · 1 filter
Set Reconstruction by Voronoi cells
Matthias Reitzner, Evgeny Spodarev, Dmitry Zaporozhets
For a Borel set and a homogeneous Poisson point process in of intensity , define the Poisson--Voronoi approximation of as a union of all Voronoi cell…
Roots of random polynomials whose coefficients have logarithmic tails
Zakhar Kabluchko, Dmitry Zaporozhets
It has been shown by Ibragimov and Zaporozhets [In Prokhorov and Contemporary Probability Theory (2013) Springer] that the complex roots of a random polynomial $G_n(z)=\sum_{k=0}^n…
On the Distribution of Complex Roots of Random Polynomials with Heavy-tailed Coefficients
Friedrich Götze, Dmitry Zaporozhets
Consider a random polynomial with i.i.d. complex-valued coefficients. Suppose that the distribution of has a slowly varying tai…
On distribution of zeros of random polynomials in complex plane
Ildar Ibragimov, Dmitry Zaporozhets
Let be a random polynomial with i.i.d. coefficients (real or complex). We show that the arguments of the roots of are uniformly distributed i…
On random surface area
Ildar Ibragimov, Dmitry Zaporozhets
Consider a random smooth Gaussian field , where is a compact in . We derive a formula for average area of a surface generated by the equation…