110 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Lomonosov Moscow State UniversityRU32 papers
- Moscow Center For Continuous Mathematical EducationRU14 papers
- Friedrich Schiller University JenaDE3 papers
- Johannes Kepler University of LinzAT3 papers
- Karlsruhe Institute of TechnologyDE3 papers
- Russian Academy of SciencesRU3 papers
- Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State UniversityRU3 papers
- Institute of Mathematical Problems of BiologyRU2 papers
- Loughborough UniversityGB2 papers
- Universidade Federal do ABCBR2 papers
- University of TübingenDE2 papers
- Ames Research CenterUS1 paper
36 papers
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…
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…
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…
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…
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…
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…
On -nonsingular systems of equations over solvable groups
Mikhail A. Mikheenko
Any group that has a subnormal series, in which all factors are abelian and all except the last one are -torsion-free, can be embedded into a group with a subnormal series of t…
Finite normal subgroups of strongly verbally closed groups
Filipp D. Denissov
In the recent paper by A. A. Klyachko, V. Yu. Miroshnichenko, and A. Yu. Olshanskii, it is proven that the center of any finite strongly verbally closed group is its direct factor.…
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…
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…
The Four-Loop SYM Sudakov Form Factor
Roman N. Lee, Andreas von Manteuffel, Robert M. Schabinger +3
We present the Sudakov form factor in full color supersymmetric Yang-Mills theory to four loop order and provide uniformly transcendental results for the relevant m…
An asymptotic lower bound on the number of bent functions
V. N. Potapov, A. A. Taranenko, Yu. V. Tarannikov
A Boolean function on variables is said to be a bent function if the absolute value of all its Walsh coefficients is . Our main result is a new asymptotic lower bo…
Ergodicity Bounds for the Markovian Queue With Time-Varying Transition Intensities, Batch Arrivals and One Queue Skipping Policy
A. Zeifman, R. Razumchik, Y. Satin +1
In this paper we revisit the Markovian queueing system with a single server, infinite capacity queue and the special queue skipping policy. Customers arrive in batches, but are ser…
Two-loop mixed QCD-EW corrections to
Marco Bonetti, Erik Panzer, Vladimir A. Smirnov +1
We compute the two-loop mixed QCD-Electroweak (QCD-EW) corrections to the production of a Higgs boson and a gluon in gluon fusion. The relevant four-point functions with internal m…
Linear widths of weighted Sobolev classes with conditions on the highest order and zero derivatives
A. A. Vasil'eva
In this paper order estimates for the linear widths of some function classes are obtained; these classes are defined by restrictions on the weighted -norm of the r-th deri…
Estimates of current helicity and tilt of solar active regions and Joy's law
K. Kuzanyan, N. Kleeorin, I. Rogachevskii +2
The tilt angle, current helicity and twist of solar magnetic fields can be observed in solar active regions. We carried out estimates of these parameters by two ways. Firstly, we c…
Machine-learning approach to identification of coronal holes in solar disk images and synoptic maps
Egor Illarionov, Alexander Kosovichev, Andrey Tlatov
Identification of solar coronal holes (CHs) provides information both for operational space weather forecasting and long-term investigation of solar activity. Source data for the f…
-universal Hopf algebras (co)acting on -algebras
Ana Agore, Alexey Gordienko, Joost Vercruysse
We develop a theory which unifies the universal (co)acting bi/Hopf algebras as studied by Sweedler, Manin and Tambara with the recently introduced \cite{AGV1} bi/Hopf-algebras that…
Order out of chaos: Shifting paradigm of convective turbulence
Sergej S Zilitinkevich, Evgeny Kadantsev, Irina Repina +2
Turbulence is ever produced in the low-viscosity/large-scale fluid flows by the velocity shears and, in unstable stratification, by buoyancy forces. It is commonly believed that bo…
Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order r and zero
A. A. Vasil'eva
In this paper order estimates for the Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain are obtained. The classes are defined by conditions on the highest…
B-spline interpolation problem in Hilbert C*-modules
Rasoul Eskandari, Michael Frank, Vladimir Manuilov +1
We introduce the -spline interpolation problem corresponding to a -valued sesquilinear form on a Hilbert -module and study its basic properties as well as the uniquene…
On the worst-case error of least squares algorithms for -approximation with high probability
Mario Ullrich
It was recently shown in [4] that, for -approximation of functions from a Hilbert space, function values are almost as powerful as arbitrary linear information, if the approxi…