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Generalized model of interacting integrable tops
Journal of High Energy Physics. 2019. Vol. 10. No. 081. P. 1–32.
Grekov A., Sechin I., Zotov A.
We introduce a family of classical integrable systems describing dynamics of M interacting glN integrable tops. It extends the previously known model of interacting elliptic tops. Our construction is based on the GLNR-matrix satisfying the associative Yang-Baxter equation. The obtained systems can be considered as extensions of the spin type Calogero-Moser models with (the classical analogues of) anisotropic spin exchange operators given in terms of the R-matrix data. In N = 1 case the spin Calogero-Moser model is reproduced. Explicit expressions for glNM -valued Lax pair with spectral parameter and its classical dynamical r-matrix are obtained. Possible applications are briefly discussed.
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This article concerns the study of modulational instability in the rotated-modified Gardner–Whitham (rmGW) equation. This model incorporates both quadratic and cubic nonlinearities, similarly to the Gardner equation, while also retaining the fully dispersive character of the Whitham equation together with a large-scale dispersive term analogous to that in the Ostrovsky equation. Using a classical multiple-scale asymptotic expansion, we ...
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Bernardin C., Gonçalves P., Olla S., Mathematical Physics Analysis and Geometry 2024 Vol. 27 No. 7
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We study the celebrated Shiryaev-Wonham filter (Wonham, W.M., in J. Soc. Ind. Appl. Math. 347–369, 1964) in its historical setup, where the hidden Markov jump process has two states. We are interested in the weak noise regime for the observation equation. Interestingly, this becomes a strong noise regime for the filtering equations. Earlier results of ...
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Ismailov A., Spiridonov V., Успехи математических наук 2026 Т. 81 № 5 С. 183–184
Получена новая формула для цепной дроби Аски–Вильсона в форме отношения двух q-гипер-геометрических рядов. ...
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Исследуются свойства оптических покрытий на основе использования упрощенного симулятора ошибок в толщинах слоев покрытий при их напылении. Обосновывается возможность такого подхода. Выводятся аналитические оценки среднеквадратичного значения нормы вектора ошибок и степени коррелированности ошибок в толщинах слоев покрытия. Изучается зависимость среднеквадратичного значения нормы вектора ошибок и свойств покрытия от уровня случайных ошибок в слоях. ...
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Осипова А. М., Пилипенко С. В., Novikov D. I. et al., Physical Review D - Particles, Fields, Gravitation and Cosmology 2026 Vol. 114 Article 063522
We investigate the prospects for observing a specific spectral distortion of the cosmic microwave
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galaxy clusters. Detection of this anisotropic Sunyaev-Zel’dovich effect would enable an independent
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Abdulkhaev K., Shirokov D., Advances in Applied Clifford Algebras 2026 Vol. 36 P. 1–21
In this paper, we present explicit formulas for the inverse and determinant in geometric (Clifford) algebras over vector spaces of dimension n = 7. The derivation of these formulas is made possible by generalizing the concept of conjugation to basis conjugation operations. We further develop a general method for constructing such formulas over odd-dimensional spaces ...
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Gribova N. I., Osmanov S. V., Lyashko S. D. et al., Journal of Magnetism and Magnetic Materials 2025 No. 614 P. 1–8
Here we demonstrate nanometer thick iron garnet films with high specific Faraday rotation suitable for
the magneto-optical applications. Bismuth-substituted iron garnet films of compositions Bi1Y2Fe5O12 and
Bi1Tm2Fe5O12 deposited on gadolinium gallium garnet substrate are fabricated and characterized. Their
thicknesses range from 2 to 10 nm, which corresponds to just a few crystal lattice constants. Spectacularly,
Faraday rotation of the ...
Added: October 4, 2026
Kuninets A., IEEE Transactions on Information Theory 2026 P. 1–1
In this work we study the applicability of Quasi-Cyclic Subfield Subcodes of Dual Elliptic (QC-SSDE) codes for integration into code-based cryptographic schemes. Detailed algorithms are provided for constructing parity-check matrices as well as block-circulant parity-check matrices for this family of codes, accompanied by empirical results that enable the construction of QC-SSDE codes with predetermined dimensions. ...
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Seleznev G., Fominov Yakov V., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 No. 7 Article 074505
Dirty superconducting films with magnetic impurities can exhibit nontrivial behavior in a magnetic field that
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Colloidal semiconductor nanocrystals have emerged as promising materials for next-generation light-emitting diodes (LEDs) owing to their solution processability, tunable emission wavelengths, narrow emission linewidths, and high photoluminescence quantum yields. Among them, anisotropic nanocrystals, including one-dimensional nanorods (NRs) and two-dimensional nanoplatelets (NPLs), offer additional opportunities for controlling transition dipole moment orientation and light out-coupling efficiency. These ...
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Medvedev G., Alexandrov Artem, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 114 Article 044102
Graphons are measurable functions used to describe the asymptotic behavior of convergent graph families. Originally motivated by problems in combinatorics and graph theory, graphons have found numerous applications in the modeling and analysis of dynamical processes on networks. In this work, we use graphons to formulate the Ising model on convergent graph sequences, which include ...
Added: October 2, 2026
Uglov T., Pakhlov P., Bodrov D. et al., Journal of High Energy Physics 2026 Vol. 04 Article 101
We study the processes chi_bJ omega and chi_bJ (pi+ pi- pi0)non-omega (J = 0, 1, 2) at center-of-mass energies sqrt(s) from 10.73 to 11.02 GeV using a 142.5 fb^-1 data sample collected with the Belle detector at the KEKB asymmetric-energy e+e- collider; and at sqrt(s) ~ 10.75 GeV using a 19.8 fb^-1 sample collected with ...
Added: October 2, 2026
Uglov T., Pakhlov P., Bodrov D. et al., Physical Review Letters 2026 Vol. D No. 113 Article L051102
We present an analysis of the processes e+ e- -> eta Upsilon(1S), eta Upsilon(2S), and gamma X_b with X_b -> pi+ pi- chi_bJ, chi_bJ -> gamma Upsilon(1S) (J = 1, 2) reconstructed from gamma gamma pi+ pi- l+ l- (l = e, mu) final states in 19.6 fb^-1 of Belle II data collected at four ...
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Bodrov D., Pakhlova G., Aushev Т. et al., Physical Review Letters 2026 Vol. 136 No. 23 Article 231801
We report the first search for the flavor-changing neutral-current decays B -> Xs nu nubar, where Xs is a hadronic system with strangeness equal to 1, in data collected with the Belle II detector at the SuperKEKB asymmetric-energy e+ e- collider. The data sample corresponds to an integrated luminosity of 365 fb^-1 collected at the ...
Added: October 2, 2026
Pakhlova G., Bodrov D., Aushev Т. et al., Physical Review Letters 2026 Vol. D No. 113 Article 052009
We search for the e+ e- -> gamma chi_bJ (J = 0, 1, 2) processes at center-of-mass energies sqrt(s) = 10.653, 10.701, 10.746, and 10.804 GeV. These data were collected with the Belle II detector at the SuperKEKB collider and correspond to 3.5, 1.6, 9.8, and 4.7 fb^-1 of integrated luminosity, respectively. We set upper ...
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Alekseevsky D. V., Osipov P., Journal of High Energy Physics 2026 Vol. 2026 No. 1 Article 1
E.B. Vinberg developed a theory of homogeneous convex cones , which has many applications. He gave a construction of such cones in terms of non-associative rank n matrix T-algebras , that consist of vector-valued n × n matrices X = ||xij||, xij ∈ Vij where Vij are Euclidean vector spaces. The multiplication in a T-algebra ...
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Ли Ч., Миронов А. Д., Orlov A. Y., Теоретическая и математическая физика 2025 Т. 225 № 3 С. 479–505
We present a family of matrix models such that their partition functions are tau functions of the universal
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Dunin-Barkowski P., Федоров И. В., Sleptsov A. M., Journal of High Energy Physics 2025 No. 2025 Article 193
We propose a new formula for the RNS superstring measure for genus 3. Our derivation is based on invariant theory. We follow Witten’s idea of using an algebraic parametrization of the moduli space (which he applied to re-derive D’Hoker and Phong’s formula for the RNS superstring measure for genus 2); but the particular parametrization that ...
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Loutsenko I. M., V. P. Spiridonov, Yermolayeva O. V., Journal of Statistical Mechanics: Theory and Experiment 2023 Vol. 2023 Article 103202
We discuss a general relation between the solitons and statistical mechanics and show that the partition function of the normal random matrix model can be obtained from the multi-soliton solutions of the two-dimensional Toda lattice hierarchy in a special limit. ...
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Sergey Derkachov, Ferrando G., Olivucci E., Journal of High Energy Physics 2021 Vol. 2021 No. 12 Article 174
We present a basis of eigenvectors for the graph building operators acting along the mirror channel of planar fishnet Feynman integrals in d-dimensions. The eigenvectors of a fishnet lattice of length N depend on a set of N quantum numbers (uk , lk ), each associated with the rapidity and bound-state index of a lattice excitation. Each excitation is a particle in ...
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Zabrodin A., Zotov A., Journal of High Energy Physics 2022 No. 7 Article 23
We suggest a field extension of the classical elliptic Ruijsenaars-Schneider model. The model is defined in two different ways which lead to the same result. The first one is via the trace of a chain product of L-matrices which allows one to introduce the Hamiltonian of the model and to show that the model is gauge ...
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Gorsky A., Vasilyev M., Zotov A., Journal of High Energy Physics 2022 Vol. 2022 No. 04 Article 159
In this study we map the dualities observed in the framework of integrable probabilities into the dualities familiar in a realm of integrable many-body systems. The dualities between the pairs of stochastic processes involve one representative from Macdonald-Schur family, while the second representative is from stochastic higher spin six-vertex model of TASEP family. We argue ...
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Gavrylenko P., Semenyakin M, Zenkevich Y., Journal of High Energy Physics 2021 No. 5 Article 103
We notice a remarkable connection between the Bazhanov-Sergeev solution of Zamolodchikov tetrahedron equation and certain well-known cluster algebra expression. The tetrahedron transformation is then identified with a sequence of four mutations. As an application of the new formalism, we show how to construct an integrable system with the spectral curve with arbitrary symmetric Newton polygon. Finally, we embed this integrable system into the double Bruhat cell of a Poisson-Lie group, show ...
Added: November 26, 2021