Hauke Seidel

collaborators

2 papers

math.PR2020

Convex cones spanned by regular polytopes

Zakhar Kabluchko, Hauke Seidel

We study three families of polyhedral cones whose sections are regular simplices, cubes, and crosspolytopes. We compute solid angles and conic intrinsic volumes of these cones. We…

math.PR2018

Distances between zeroes and critical points for random polynomials with i.i.d. zeroes

Zakhar Kabluchko, Hauke Seidel

Consider a random polynomial $Q_{n}$ of degree $n + 1$ whose zeroes are i.i.d. random variables $ξ_{0}, ξ_{1}, \dots, ξ_{n}$ in the complex plane. We study the pairing between the zeroes of $Q…