100 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Lomonosov Moscow State UniversityRU72 papers
- Institute of Mathematical Problems of BiologyRU14 papers
- Moscow Center of Fundamental and Applied MathematicsRU14 papers
- National Research University Higher School of EconomicsRU12 papers
- Institute of Terrestrial Magnetism Ionosphere and Radio Wave PropagationRU8 papers
- Troitsk Institute for Innovation and Fusion ResearchRU8 papers
- University of Beira InteriorPT7 papers
- Institute for Information Transmission ProblemsRU6 papers
- St Petersburg UniversityRU6 papers
- Institute of Solar-Terrestrial PhysicsRU5 papers
- Moscow Institute of Physics and TechnologyRU5 papers
- Russian Academy of SciencesRU5 papers
104 papers
Orthogonality graphs of real Cayley-Dickson algebras. Part I: Doubly alternative zero divisors and their hexagons
Svetlana Zhilina
We study zero divisors whose components alternate strongly pairwise and construct oriented hexagons in the zero divisor graph of an arbitrary real Cayley-Dickson algebra. In case o…
Orthogonality graphs of real Cayley-Dickson algebras. Part II: The subgraph on pairs of basis elements
Svetlana Zhilina
We consider zero divisors of an arbitrary real Cayley-Dickson algebra such that their components are both standard basis elements. We construct inductively the orthogonality graph…
Commuting graphs of Okubo algebras
Svetlana Zhilina, Danil Pavlinov
Commuting graphs of Okubo algebras are considered, and the problem of their connectivity is studied. The commuting graph of a pseudo-octonion algebra over a field…
Relation graphs of the sedenion algebra
Alexander Guterman, Svetlana Zhilina
Let denote the algebra of the sedenions, and denote its orthogonality graph. We observe that any pair of zero divisors in produces a dou…
The algebraic and geometric classification of -Novikov algebras
Hani Abdelwahab, Ivan Kaygorodov, Roman Lubkov
The notion of -Novikov algebras was introduced recently as a generalization of Novikov and bicommutative algebras. It looks like -Novikov algebras have a richer structure tha…
Hamiltonian Sets of Polygonal Paths in Assembly Graphs
A. Guterman, N. Jonoska, E. Kreines +2
We provide four equivalent combinatorial conditions for a simple assembly graph (rigid vertex graph where all vertices are of degree 1 or 4) to have the largest number of Hamiltoni…
On multi-propagator angular integrals
Juliane Haug, Vladimir A. Smirnov, Fabian Wunder
We study multi-propagator angular integrals, a class of phase-space integrals relevant to processes with multiple observed final states and a test-bed for transferring loop-integra…
eSASRec: Enhancing Transformer-based Recommendations in a Modular Fashion
Daria Tikhonovich, Nikita Zelinskiy, Aleksandr V. Petrov +4
Since their introduction, Transformer-based models, such as SASRec and BERT4Rec, have become common baselines for sequential recommendations, surpassing earlier neural and non-neur…
Integrability of the magnetic geodesic flow on the sphere with a constant 2-form
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
We prove a recent conjecture of Dragovic et al arXiv2504.20515 stating that the magnetic geodesic flow on the standard sphere whose magnetic 2-form is…
Symplectic classification for universal unfoldings of singularities in integrable systems
Elena A. Kudryavtseva
In the present paper, we obtain real-analytic symplectic normal forms for integrable Hamiltonian systems with degrees of freedom near singular points having the type ``universa…
Inverse Problem for the Schrödinger Equation with Non-self-adjoint Matrix Potential
Sergei Avdonin, Alexander Mikhaylov, Victor Mikhaylov +1
We consider the dynamical system with boundary control for the vector Schrödinger equation on the interval with a non-self-adjoint matrix potential. For this system, we study the i…
Elementary Differential Singularities of Three-Dimensional Nijenhuis Operators
Dinmukhammed Akpan, Andrei Oshemkov
In the paper, three-dimensional Nijenhuis operators are studied that have differential singularities, i.e., such points at which the coefficients of the characteristic polynomials…
Almost Differentially Nondegenerate Nijenhuis Operators
Dinmukhammed Akpan
The paper is devoted to the study of Nijenhuis operators of arbitrary dimension in a neighborhood of a point at which the first coefficients of the characteristic polynom…
Singularities of two-dimensional Nijenhuis operators
Dinmukhammed Akpan
A Nijenhuis operator is a -tensor field on a smooth manifold with vanishing Nijenhuis torsion . At each point , the algebraic type of $L(x…
Bifurcations of magnetic geodesic flows on surfaces of revolution
Ivan F. Kobtsev, Elena A. Kudryavtseva
We study magnetic geodesic flows invariant under rotations on the 2-sphere. The dynamical system is given by a generic pair of functions in one variable. Topology of the Li…
First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
Dogan Akpinar, Fernando Febres Cordero, Manfred Kraus +2
We compute the conservative and radiation-reaction contributions to classical observables in the gravitational scattering between a spinning and a spinless black hole to the fourth…
An Upper Bound on the Length of an Algebra and Its Application to the Group Algebra of the Dihedral Group
M. A. Khrystik
Let be an -algebra and let be its generating set. The length of is the smallest number such that equals the $\mat…
On finite-dimensional homogeneous Lie algebras of derivations of polynomial rings
Ivan Arzhantsev, Sergey Gaifullin, Viktor Lopatkin
For a finite set of homogeneous locally nilpotent derivations of the algebra of polynomials in several variables, a finite dimensionality criterion for the Lie algebra generated by…
Forester's lattices and small non-Leighton complexes
Natalia S. Dergacheva, Anton A. Klyachko
We construct two CW-complexes and admitting a common, but not finite common, covering, where is homeomorphic to a complex with a single 2-cell.
Expansion by regions meets angular integrals
Vladimir A. Smirnov, Fabian Wunder
We study the small-mass asymptotic behavior of so-called angular integrals, appearing in phase-space calculations in perturbative quantum field theory. For this purpose we utilize…
Finite symmetric groups are strongly verbally closed
Olga K. Karimova, Anton A. Klyachko
Answering a question of A. V. Vasil'ev, we show that each finite symmetric (or alternating) group is a retract of any group containing as a verbally closed subgroup.
Tiny non-Leighton complexes
Natalia S. Dergacheva, Anton A. Klyachko
How complex must two finite 2-complexes be to admit a common, but not finite common, covering? We obtain an almost answer: the minimum possible number of triangles in a pseudo-simp…
The algebraic and geometric classification of antiassociative algebras
Renato Fehlberg Júnior, Ivan Kaygorodov, Crislaine Kuster
This paper is devoted to the complete algebraic and geometric classification of complex 4 and 5-dimensional antiassociative algebras. In particular, we proved that the variety of c…
FIRE 6.5: Feynman Integral Reduction with New Simplification Library
Alexander V. Smirnov, Mao Zeng
FIRE is a program which performs integration-by-parts (IBP) reduction of Feynman integrals. Originally, the C++ version of FIRE relies on the computer algebra system Fermat by Robe…