3 papers
math.NA2020
Finding polynomial roots by dynamical systems -- a case study
Sergey Shemyakov, Roman Chernov, Dzmitry Rumiantsau +3
We investigate two well known dynamical systems that are designed to find roots of univariate polynomials by iteration: the methods known by Newton and by Ehrlich-Aberth. Both are…
math.DG2018
A sausage body is a unique solution for a reverse isoperimetric problem
Roman Chernov, Kostiantyn Drach, Kateryna Tatarko
We consider the class of -concave bodies in ; that is, convex bodies with the property that each of their boundary points supports a tangent ball of radius $1/λ…
math.GT2017
Toy Teichmüller spaces of real dimension 2: the pentagon and the punctured triangle
Yudong Chen, Roman Chernov, Marco Flores +3
We study two -dimensional Teichmüller spaces of surfaces with boundary and marked points, namely, the pentagon and the punctured triangle. We show that their geometry is quite d…