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
24 papers · 1 filter
Maximal Generalized Rank in Graphical Matrix Spaces
Alexander Guterman, Roy Meshulam, Igor Spiridonov
In this note we prove two extensions of a recent combinatorial characterization due to Li, Qiao, Wigderson, Wigderson and Zhang (arXiv:2206.04815) of the maximal dimension of bound…
Orthogonal separation of variables for spaces of constant curvature
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
We construct all orthogonal separating coordinates in constant curvature spaces of arbitrary signature. Further, we construct explicit transformation between orthogonal separating…
On existence of PI-exponent of algebras with involution
Dušan D. Repovš, Mikhail V. Zaicev
We study polynomial identities of algebras with involution of nonassociative algebras over a field of characteristic zero. We prove that the growth of the sequence of -codimensi…
Geometry of Diophantine exponents
Oleg N. German
Diophantine exponents are ones of the simplest quantitative characteristics responsible for the approximation properties of linear subspaces of a Euclidean space. This survey is ai…
On a matrix element representation of the GKZ hypergeometric functions
A. A. Gerasimov, D. R. Lebedev, S. V. Oblezin
We develop a representation theory approach to the study of generalized hypergeometric functions of Gelfand, Kapranov and Zelevisnky (GKZ). We show that the GKZ hypergeometric func…
Twisted conjugacy in some lamplighter-type groups
Evgenij Troitsky
For a restricted wreath product , where is a finite abelian group, we determine (almost in all cases) whether this product has the property (i.e.,…
Solar and stellar activity cycles -- no synchronization with exoplanets
V. N. Obridko, M. M. Katsova, D. D. Sokoloff
Cyclic activity on the Sun and stars is primarily explained by generation of the magnetic field by a dynamo mechanism, which converts the energy of the poloidal field into the ener…
Solar and stellar flares: frequency, active regions and stellar dynamo
M. M. Katsova, V. N. Obridko, D. D. Sokoloff +1
We demonstrate that for weak flares the dependence on spottedness can be rather weak. The fact is that such flares can occur both in small and large active regions. At the same tim…
On the cardinality of lower sets and universal discretization
F. Dai, A. Prymak, A. Shadrin +2
A set in is a lower set if implies whenever for all . We derive new and refine known results…
Transposed Poisson structures on Block Lie algebras and superalgebras
Ivan Kaygorodov, Mykola Khrypchenko
We describe transposed Poisson algebra structures on Block Lie algebras and Block Lie superalgebras , where is an arbitrary complex number. Speci…
Applications of Nijenhuis Geometry IV: multicomponent KdV and Camassa-Holm equations
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
We construct a new series of multicomponent integrable PDE systems that contain as particular example (with appropriately chosen parameters) many famous integrable systems includin…
Powers with minimal commutator length in free products of groups
Vadim Bereznyuk
Given a free product of groups and a natural number , what is the minimal possible commutator length of an element not conjugate to el…
The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras
María Alejandra Alvarez, Ivan Kaygorodov
This paper is devoted to the complete algebraic and geometric classification of complex -dimensional nilpotent weakly associative, complex -dimensional symmetric Leibniz alge…
Estimates for the Kolmogorov widths of weighted Sobolev classes with conditions on the th and the greatest derivatives
A. A. Vasil'eva
In this article, we obtain the order estimates for the Kolmogorov widths of sets with conditions on the norm in the weighted Sobolev space and in the weighted space $L_…
Yet another Freiheitssatz: Mating finite groups with locally indicable ones
Anton A. Klyachko, Mikhail A. Mikheenko
The main result includes as special cases on the one hand, the Gerstenhaber--Rothaus theorem (1962) and its generalisation due to Nitsche and Thom (2022) and, on the other hand, th…
Topological and frame properties of certain pathological -algebras
Denis Fufaev
We introduce a classification of locally compact Hausdorff topological spaces with respect to the behavior of -compact subsets, and relying on this classification we study prope…
Synthetic solar cycle for active regions violating the Hale's polarity law
A. Zhukova, A. Khlystova, V. Abramenko +1
Long observational series for bipolar active regions (ARs) provide significant information about the mutual transformation of the poloidal and toroidal components of the global sol…
Quark and gluon form factors in four-loop QCD
Roman N. Lee, Andreas von Manteuffel, Robert M. Schabinger +3
We compute the photon-quark and Higgs-gluon form factors to four-loop order within massless perturbative Quantum Chromodynamics. Our results constitute ready-to-use building blocks…
On Products of Random Matrices
Natalia Amburg, Aleksandr Yu. Orlov, Dmitry Vasiliev
We introduce a family of models, which we name matrix models associated with children's drawings -- the so-called dessin d'enfant. Dessins d'enfant are graphs of a special kind dra…
Diophantine sets and Dirichlet improvability
Antoine Marnat
This note pushes further the discussion about relations between Dirichlet improvable, badly approximable and singular points held in recent joint work with Beresnevich, Guan, Velan…
Parametrization of sunspot groups based on machine learning approach
Egor Illarionov, Andrey Tlatov
Sunspot groups observed in white-light appear as complex structures. Analysis of these structures is usually based on simple morphological descriptors which capture only generic pr…
Structurally stable non-degenerate singularities of integrable systems
E. A. Kudryavtseva, A. A. Oshemkov
In this paper, we study singularities of the Lagrangian fibration given by a completely integrable system. We prove that a non-degenerate singular fibre satisfying the so-called co…
Notes on interplay of the QCD and EW perturbative corrections to the pole-running top-quark mass ratio
A. L. Kataev, V. S. Molokoedov
A specific representation of the known one-loop EW correction to the relation between the pole and running $\msbar$-scheme masses of the top-quark through particle masses of the St…
Two-loop non-planar hexa-box integrals with one massive leg
Adam Kardos, Costas G. Papadopoulos, Alexander V. Smirnov +2
Based on the Simplified Differential Equations approach, we present results for the two-loop non-planar hexa-box families of master integrals. We introduce a new approach to obtain…