Sobolev Institute of Mathematics

output

19932026

most citedPhysics Interplay of the LHC and the ILC

408 citations

researchers with a paper here

collaborating institutions

1,074 papers

math.LO2026

On the Diophantine problem related to power circuits

Alexander Rybalov

Myasnikov, Ushakov, and Won introduced power circuits in 2012 to construct a polynomial-time algorithm for the word problem in the Baumslag group, which has a non-elementary Dehn f…

math.LO2025

A non-computable c.e. closed subset of $[0, 1]$

Serikzhan Badaev, Nikolay Bazhenov, Sergey Goncharov +2

We prove that there exists a $Σ_{1}^{0}$ closed subset of $[0, 1]$ that is not homeomorphic to any computably compact space. We show that the index set of c.e. subspaces of $[0, 1]$ that…

math.GR2025

On generation by triality automorphisms

Danila O. Revin, Andrei V. Zavarnitsine

We clarify the structure of subgroups generated by conjugate graph automorphisms of order $3$ of $O_{8}^{+} (2)$ and $O_{8}^{+} (3)$ . As a result, we obtain a correction to a paper by S. Gue…

math.GT2025

On a family of hyperbolic Brunnian links and their volumes

Dušan D. Repovš, Andrei Yu. Vesnin

An $n$ -component link $L$ is said to be \emph{Brunnian} if it is non-trivial but every proper sublink of $L$ is trivial. The simplest and best known example of a hyperbolic Brunnia…

math.CO2025

On tropical knapsack-type problems

I. M. Buchinskiy, M. V. Kotov, A. V. Treier

In this paper, we investigate the computational complexity of the knapsack problem and subset sum problem for the following tropical algebraic structures. We consider the semigroup…

math.RA2025★ 1 cited

Rota-Baxter operators on the simple Jordan algebra of matrices of order two

Vsevolod Gubarev, Alexander Panasenko

We describe all Rota-Baxter operators of any weight on the space of matrices from $M_{2} (F)$ considered under the product $a \circ b = (ab + ba) /2$ and usually denoted as $M_2(F)^{(+)…