3 papers
q-bio.MN2023
Predicting attractors from spectral properties of stylized gene regulatory networks
Dzmitry Rumiantsau, Annick Lesne, Marc-Thorsten Hütt
How the architecture of gene regulatory networks ultimately shapes gene expression patterns is an open question, which has been approached from a multitude of angles. The dominant…
math.GR2022
Polynomiality of the faithful dimension of nilpotent groups over finite truncated valuation rings
Mohammad Bardestani, Keivan Mallahi-Karai, Dzmitry Rumiantsau +1
The faithful dimension of a finite group over , denoted by , is the smallest integer such that can be embedde…
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…