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
22 papers · 1 filter
Geometry of inhomogeneous Poisson brackets, multicomponent Harry Dym hierarchies and multicomponent Hunter-Saxton equations
Andrey Yu. Konyaev
We introduce a natural class of multicomponent local Poisson structures , where is a local Poisson bracket of order one and $\mathcal P_…
On the inverse semigroup of bimodules over a C*-algebra
Vladimir Manuilov
It was noticed recently that, given a metric space , the equivalence classes of metrics on the disjoint union of the two copies of coinciding with on each copy f…
The -scheme QCD contributions to the Adler function and Bjorken polarized sum rule in the Crewther-type two-fold -expanded representation
I. O. Goriachuk, A. L. Kataev, V. S. Molokoedov
We consider the two-fold expansion in powers of the conformal anomaly and of the strong coupling for the non-singlet contributions to Adler -function and Bjorken polarized…
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…
FIESTA5: numerical high-performance Feynman integral evaluation
A. V. Smirnov, N. D. Shapurov, L. I. Vysotsky
In this paper we present a new release of the FIESTA program (Feynman Integral Evaluation by a Sector decomposiTion Approach). FIESTA5 is performance-oriented - we implemented impr…
The geometric classification of nilpotent commutative -algebras
Doston Jumaniyozov, Ivan Kaygorodov, Abror Khudoyberdiyev
We give a geometric classification of complex -dimensional nilpotent commutative -algebras. The corresponding geometric variety has dimension and decomposes…
Zonal harmonics of solar magnetic field for solar cycle forecast
V. N. Obridko, D. D. Sokoloff, V. V. Pipin +2
According to the scheme of action of the solar dynamo, the poloidal magnetic field can be considered a source of production of the toroidal magnetic field by the solar differential…
Finite and nilpotent strongly verbally closed groups
Anton A. Klyachko, Veronika Yu. Miroshnichenko, Alexander Yu. Olshanskii
We show, in particular, that, if a finite group is a retract of any finite group containing as a verbally closed subgroup, then the centre of is a direct factor of .
Analytic results for two-loop planar master integrals for Bhabha scattering
Claude Duhr, Vladimir A. Smirnov, Lorenzo Tancredi
We analytically evaluate the master integrals for the second type of planar contributions to the massive two-loop Bhabha scattering in QED using differential equa- tions with canon…
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…
Finite memory time and anisotropy effects for initial magnetic energy growth in random flow of conducting media
E. A. Illarionov, D. D. Sokoloff
The dynamo mechanism is a process of magnetic field self-excitation in a moving electrically conducting fluid. One of the most interesting applications of this mechanism related to…
A Hilbert C*-module with extremal properties
Denis Fufaev
We construct an example of a Hilbert C*-module which shows that Troitsky's theorem on the geometrical essence of A-compact operators between Hilbert C*-modules is not extendable to…
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…
Existence of a smooth Hamiltonian circle action near parabolic orbits
Elena Kudryavtseva, Nikolay Martynchuk
We show that every parabolic orbit of a two-degree of freedom integrable system admits a -smooth Hamiltonian circle action, which is persistent under small integrable $C^…
The algebraic and geometric classification of nilpotent left-symmetric algebras
Jobir Adashev, Ivan Kaygorodov, Abror Khudoyberdiyev +1
This paper is devoted to the complete algebraic and geometric classification of complex -dimensional nilpotent left-symmetric algebras. The corresponding geometric variety has d…
Fermionic corrections to quark and gluon form factors in four-loop QCD
Roman N. Lee, Andreas von Manteuffel, Robert M. Schabinger +3
We analytically compute all four-loop QCD corrections to the photon-quark and Higgs-gluon form factors involving a closed massless fermion loop. Our calculation of non-planar verte…
Rational approximations to two irrational numbers
Nikita Shulga
For real we consider the irrationality measure function , where - distance to the nearest integer.…
Glue-and-Cut at Five Loops
Alessandro Georgoudis, Vasco Gonçalves, Erik Panzer +3
We compute epsilon-expansions around 4 dimensions of a complete set of master integrals for momentum space five-loop massless propagator integrals in dimensional regularization, up…
Solar large-scale magnetic field and cycle patterns in solar dynamo
V. N. Obridko, V. V. Pipin, D. D. Sokoloff +1
We compare spectra of the zonal harmonics of the large-scale magnetic field of the Sun using observation results and solar dynamo models. The main solar activity cycle as recorded…
The Observational Uncertainty of Coronal Hole Boundaries in Automated Detection Schemes
Martin A. Reiss, Karin Muglach, Christian Möstl +16
Coronal holes are the observational manifestation of the solar magnetic field open to the heliosphere and are of pivotal importance for our understanding of the origin and accelera…
Tensor-Train Numerical Integration of Multivariate Functions with Singularities
Lev I. Vysotsky, Alexander V. Smirnov, Eugene E. Tyrtyshnikov
Numerical integration is a classical problem emerging in many fields of science. Multivariate integration cannot be approached with classical methods due to the exponential growth…
The geometric classification of -step nilpotent algebras and applications
Mikhail Ignatyev, Ivan Kaygorodov, Yury Popov
We give a geometric classification of complex -dimensional -step nilpotent (all, commutative and anticommutative) algebras. Namely, has been found the number of irreducible c…