Zobrazeno 1 - 10
of 9 634
pro vyhledávání: '"Lopatin AS"'
Autor:
Kornjača, Milan, Hu, Hong-Ye, Zhao, Chen, Wurtz, Jonathan, Weinberg, Phillip, Hamdan, Majd, Zhdanov, Andrii, Cantu, Sergio H., Zhou, Hengyun, Bravo, Rodrigo Araiza, Bagnall, Kevin, Basham, James I., Campo, Joseph, Choukri, Adam, DeAngelo, Robert, Frederick, Paige, Haines, David, Hammett, Julian, Hsu, Ning, Hu, Ming-Guang, Huber, Florian, Jepsen, Paul Niklas, Jia, Ningyuan, Karolyshyn, Thomas, Kwon, Minho, Long, John, Lopatin, Jonathan, Lukin, Alexander, Macrì, Tommaso, Marković, Ognjen, Martínez-Martínez, Luis A., Meng, Xianmei, Ostroumov, Evgeny, Paquette, David, Robinson, John, Rodriguez, Pedro Sales, Singh, Anshuman, Sinha, Nandan, Thoreen, Henry, Wan, Noel, Waxman-Lenz, Daniel, Wong, Tak, Wu, Kai-Hsin, Lopes, Pedro L. S., Boger, Yuval, Gemelke, Nathan, Kitagawa, Takuya, Keesling, Alexander, Gao, Xun, Bylinskii, Alexei, Yelin, Susanne F., Liu, Fangli, Wang, Sheng-Tao
Quantum machine learning has gained considerable attention as quantum technology advances, presenting a promising approach for efficiently learning complex data patterns. Despite this promise, most contemporary quantum methods require significant res
Externí odkaz:
http://arxiv.org/abs/2407.02553
Publikováno v:
Communications in Mathematics, Volume 33 (2025), Issue 1 (March 27, 2024) cm:13107
In this paper we investigate weak polynomial identities for the Weyl algebra $\mathsf{A}_1$ over an infinite field of arbitrary characteristic. Namely, we describe weak polynomial identities of the minimal degree, which is three, and of degrees 4 and
Externí odkaz:
http://arxiv.org/abs/2402.14799
The set $S(n)$ of all elementary symmetric polynomials in $n$ variables is a minimal generating set for the algebra of symmetric polynomials in $n$ variables, but over a finite field ${\mathbb F}_q$ the set $S(n)$ is not a minimal separating set for
Externí odkaz:
http://arxiv.org/abs/2401.03318
We described a minimal separating set for the algebra of $O(F_q)$-invariant polynomial functions of $m$-tuples of two-dimensional vectors over a finite field $F_q$.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/2310.00484
Autor:
Lopatin, Artem
The algebra of ${\rm GL}_n$-invariants of $m$-tuples of $n\times n$ matrices with respect to the action by simultaneous conjugation is a classical topic in case of infinite base field. On the other hand, in case of a finite field generators of polyno
Externí odkaz:
http://arxiv.org/abs/2310.00477
We established two-sided Curto-Herrero conjecture for pairs of matrices, where the first matrix has a simple spectrum. Namely, it is shown that these pairs are separated by ranks of non-commutative polynomials in matrices. Moreover, we provided some
Externí odkaz:
http://arxiv.org/abs/2310.00476
Publikováno v:
Communications in Mathematics, Volume 32 (2024), Issue 2 (Special issue: CIMPA schools "Nonassociative Algebras and related topics, Brazil'2023" and "Current Trends in Algebra, Philippines'2024") (March 26, 2024) cm:12323
In this paper we describe the polynomial identities of degree 4 for a certain subspace of the Weyl algebra A_1 over an infinite field of arbitrary characteristic.
Comment: 15 pages. In version 2 proofs were expanded
Comment: 15 pages. In version 2 proofs were expanded
Externí odkaz:
http://arxiv.org/abs/2309.12795
Autor:
Alexey E. Pestov, Aleksei Ya. Lopatin, Petr V. Volkov, Maria V. Zorina, Andrei Yu. Lukyanov, Ilya V. Malyshev, Mikhail S. Mikhailenko, Mikhail N. Toropov, Daniil A. Semikov, Aleksei K. Chernyshev, Nikolay I. Chkhalo, Pavel A. Yunin, Egor I. Glushkov, Sergey K. Gordeev, Svetlana B. Korchagina
Publikováno v:
Journal of Synchrotron Radiation, Vol 31, Iss 5, Pp 1179-1188 (2024)
The paper considers the possibility of using the diamond-silicon carbide composite Skeleton® with a technological coating of polycrystalline silicon as a substrate for X-ray mirrors used with powerful synchrotron radiation sources (third+ and fourth
Externí odkaz:
https://doaj.org/article/eca880aa54cc4dad97641b33c92211d5
Autor:
A. Lopatin, O. Dubovik, G. Stenchikov, E. J. Welton, I. Shevchenko, D. Fuertes, M. Herreras-Giralda, T. Lapyonok, A. Smirnov
Publikováno v:
Atmospheric Measurement Techniques, Vol 17, Pp 4445-4470 (2024)
This study focuses on the comparison of aerosol columnar aerosol optical depth (AOD) and lidar ratios together with vertical profiles of aerosol extinction and backscatter at 532 nm retrieved over the King Abdullah University of Science and Technolog
Externí odkaz:
https://doaj.org/article/d69969eb85d448d8841742e5d78fe6bb
Publikováno v:
Нижневолжский археологический вестник, Vol 23, Iss 2, Pp 5-24 (2024)
Abstract. This article provides an overview of modern remote sensing techniques in archaeology and their practical applications. The widespread use of GIS technologies and remote sensing methods such as photogrammetry and laser scanning is a distingu
Externí odkaz:
https://doaj.org/article/73eea187628c490a83acbbfa2c7038ef