output
20112026
most citedPolynomial identities in Novikov algebras

13 citations

13 papers

astro-ph.HE2026

Parameter Estimation Horizon of Core-Collapse Supernovae with Current and Next-Generation Gravitational-Wave Detectors

Almat Akhmetali, Y. Sultan Abylkairov, Daniil Orel +7

Core-collapse supernovae (CCSNe) are powerful sources of gravitational waves (GWs). These signals propagate essentially unobstructed, providing a unique probe of the supernova cent…

astro-ph.HE2026

Toward More Realistic Machine-Learning Inference of the Dense-Matter Equation of State from Supernova Gravitational Waves

Almat Akhmetali, Y. Sultan Abylkairov, Marat Zaidyn +6

Gravitational waves from core-collapse supernovae offer a unique probe of the equation of state (EOS) of dense nuclear matter. For rapidly rotating stars, previous machine-learning…

cs.LG2025

CayleyPy RL: Pathfinding and Reinforcement Learning on Cayley Graphs

A. Chervov, M. Obozov, A. Soibelman +31

This paper is the second in a series of studies on developing efficient artificial intelligence-based approaches to pathfinding on extremely large graphs (e.g. nodes) wit…

cs.DC2024★ 2 cited

Joint wireless and computing resource management with optimal slice selection in in-network-edge metaverse system

Sulaiman Muhammad Rashid, Ibrahim Aliyu, Abubakar Isah +4

This paper presents an approach to joint wireless and computing resource management in slice-enabled metaverse networks, addressing the challenges of inter-slice and intra-slice re…

cs.NI2024★ 8 cited

Routing Algorithm for Software Defined Network Based on Boxcovering Algorithm

Dana Turlykozhayeva, Sayat Akhtanov, Nurzhan Ussipov +3

A routing algorithm is the most fundamental problem in complex network communication. In complex networks, the amount of computation increases as the number of nodes increases whic…

cs.NI2023★ 4 cited

A Data-Driven Digital Twin Network Architecture in the Industrial Internet of Things (IIoT) Applications

Abubakar Isah, Hyeju Shin, Ibrahim Aliyu +5

A new network named the "Digital Twin Network" (DTN) uses the "Digital Twin" (DT) technology to produce virtual twins of real things. The network load and size continue to grow as…

astro-ph.HE2023★ 11 cited

Probing nuclear physics with supernova gravitational waves and machine learning

Ayan Mitra, Daniil Orel, Y. Sultan Abylkairov +2

Core-collapse supernovae are sources of powerful gravitational waves (GWs). We assess the possibility of extracting information about the equation of state (EOS) of high density ma…

physics.class-ph2023★ 3 cited

The strange case of Negative Reflection

Bibinur Meirbekova, Lorenzo Morini, Michele Brun +1

In this paper we show for the first time the phenomenon of negative reflection in a simple mechanical structure. The latter is a grating of fixed inclusions embedded in a linear el…

math.RA2022★ 13 cited

Polynomial identities in Novikov algebras

Vladimir Dotsenko, Nurlan Ismailov, Ualbai Umirbaev

In this paper, we study Novikov algebras satisfying nontrivial identities. We show that a Novikov algebra over a field of zero characteristic that satisfies a nontrivial identity s…

gr-qc2021★ 3 cited

Constraining the swiss-cheese IR-fixed point cosmology with cosmic expansion

Ayan Mitra, Vasilios Zarikas, Alfio Bonanno +2

In a recent work, it has been proposed that the recent cosmic passage to a cosmic acceleration era is the result of the existence of small anti-gravity sources in each galaxy and c…

math.RA2021★ 4 cited

The algebraic and geometric classification of nilpotent right alternative algebras

Nurlan Ismailov, Ivan Kaygorodov, Manat Mustafa

We present algebraic and geometric classifications of the -dimensional complex nilpotent right alternative algebras. Specifically, we find that, up to isomorphism, there are onl…

math.RA2012★ 1 cited

Free Poisson fields and their automorphisms

Leonid Makar-Limanov, Ualbai Umirbaev

Let be an arbitrary field of characteristic 0. We prove that the group of automorphisms of a free Poisson field in two variables over is isomorphic to the Cr…

math.RA2011

The Freiheitssatz for Novikov algebras

Leonid Makar-Limanov, Ualbai Umirbaev

We prove the Freiheitssatz for Novikov algebras in characteristic zero. It is also proved that the variety of Novikov algebras is generated by a Novikov algebra on the space of pol…