Zobrazeno 1 - 10
of 2 461
pro vyhledávání: '"P. Zotov"'
Autor:
Potapov, R., Zotov, A.
We describe the Ruijsenaars' action-angle duality in classical many-body integrable systems through the spectral duality transformation relating the classical spin chains and Gaudin models. For this purpose, the Lax matrices of many-body systems are
Externí odkaz:
http://arxiv.org/abs/2410.19035
Autor:
Guglielmi, A. V., Zotov, O. D.
The concept of a triad of tectonic earthquakes as a natural trinity of foreshocks, main shock and aftershocks is introduced. The basis for classifying the main shocks is the belonging of the main shock to one or another category of triads. The basis
Externí odkaz:
http://arxiv.org/abs/2409.16378
Autor:
Zotov, Mikhail
Fluorescence telescopes are important instruments widely used in modern experiments for registering ultraviolet radiation from extensive air showers (EASs) generated by cosmic rays of ultra-high energies. We present a proof-of-concept convolutional n
Externí odkaz:
http://arxiv.org/abs/2408.02440
Combinatorial optimization (CO) problems are crucial in various scientific and industrial applications. Recently, researchers have proposed using unsupervised Graph Neural Networks (GNNs) to address NP-hard combinatorial optimization problems, which
Externí odkaz:
http://arxiv.org/abs/2407.16468
Autor:
Zotov, A.
The Lax pair for the field analogue of the classical spin elliptic Calogero-Moser is proposed. Namely, using the previously known Lax matrix we suggest an ansatz for the accompany matrix. The presented construction is valid when the matrix of spin va
Externí odkaz:
http://arxiv.org/abs/2407.13854
Autor:
Guglielmi, A. V., Zotov, O. D.
The essence of the cumulative effect of a round-the-world seismic echo is that the echo can serve as a trigger for a second tremors in the epicentral zone of the earthquake that gave rise to the echo. According to the classification of triggers, the
Externí odkaz:
http://arxiv.org/abs/2404.18258
Autor:
Zotov, A.
Publikováno v:
J. Phys. A: Math. Theor. 57 (2024) 315201 (28pp)
We consider 1+1 field generalization of the elliptic Calogero-Moser model. It is shown that the Lax connection satisfies the classical non-ultralocal $r$-matrix structure of Maillet type. Next, we consider 1+1 field analogue of the spin Calogero-Mose
Externí odkaz:
http://arxiv.org/abs/2404.01898
Autor:
Atalikov, K., Zotov, A.
Publikováno v:
Theoret. and Math. Phys., 219:3 (2024), 1004-1017
We consider the classical integrable 1+1 trigonometric ${\rm gl}_N$ Landau-Lifshitz models constructed by means of quantum $R$-matrices satisfying also the associative Yang-Baxter equation. It is shown that 1+1 field analogue of the trigonometric Cal
Externí odkaz:
http://arxiv.org/abs/2403.00428
Autor:
Guglielmi, A. V., Zotov, O. D.
We proceeded from general physical concepts based, on the one hand, on the Umoff-Poynting theorem, and on the other, on the phenomenological theory of earthquakes, and formulated the following question: What are the directions of energy flows in the
Externí odkaz:
http://arxiv.org/abs/2401.13063
Autor:
Sheverdyaeva, Polina M., Mihalyuk, Alexey N., Chou, Jyh-Pin, Matetskiy, Andrey V., Eremeev, Sergey V., Zotov, Andrey V., Saranin, Alexander A.
Publikováno v:
J. Mater. Chem. C, 2024
The studies of electronic effects in reduced dimensionality have become a frontier in nanoscience due to exotic and highly tunable character of quantum phenomena. Recently, a new class of 2D ultrathin Ln$X_2$ metalloxenes composed of a triangular lat
Externí odkaz:
http://arxiv.org/abs/2401.11163