activity
20052026
most citedThe images of non-commutative polynomials evaluated on matrices

66 citations · 207 across the 19 of their papers we have counts for

collaborators

19 papers

math.DS2026

Exponential stability of second order delay differential equations through Floquet theory

Alexander Domoshnitsky, Sergey Malev, Tsahi Shavit

In this paper, we obtain results on exponential stability of second order delay differential equations, which are based on a version of the Floquet theory for delay differential eq…

math.AG2023

Algebro-geometric proof of Christoph's Theorem

Sergey Malev, Anastasiia Zhilina

In this paper an algebraic proof of Christoph's theorem is provided. This theorem from algebraic-geometry is about the existence of a finite automaton for computing coefficient of…

math.PR2022

On the Distribution function of area and perimeter for planar poisson line process

Alexei Kanel-Belov, Mehdi Golafshan, Sergey Malev +1

The challenges of examining random partitions of space are a significant class of problems in the theory of geometric transformations. Richard Miles calculated moments of areas and…

math.AG2022★ 8 cited

The images of multilinear and semihomogeneous polynomials on the algebra of octonions

Alexei Kanel-Belov, Sergey Malev, Coby Pines +1

The generalized L'vov-Kaplansky conjecture states that for any finite-dimensional simple algebra the image of a multilinear polynomial on is a vector space. In this paper w…

math.RA2021

Evaluations of multilinear polynomials on low rank Jordan algebras

Sergey Malev, Roman Yavich, Roee Shayer

In this paper we prove the generalized Kaplansky conjecture for the Jordan algebras of the type in particular for self adjoint matrices over , over $\C$, $\HH…

math.RA2020

Nonstandard analysis, deformation quantization and some logical aspects of (non)commutative algebraic geometry

Alexei Kanel-Belov, Alexei Chilikov, Ilya Ivanov-Pogodaev +4

This paper surveys results related to well-known works of B. Plotkin and V. Remeslennikov on the edge of algebra, logic and geometry. We start from a brief review of the paper and…