Zobrazeno 1 - 10
of 927
pro vyhledávání: '"Talalaev, A. A."'
Autor:
Lendyashova, Vera V., Ilkiv, Igor V., Talalaev, Vadim G., Shugabaev, Talgat, Reznik, Rodion R., Cirlin, George E.
The influence of growth regimes of the silicon capping layer on the optical properties of heterostructures with submonolayer InAs quantum dots embedded in a silicon matrix has been studied. The photoluminescence signal at 1650 nm from submonolayer qu
Externí odkaz:
http://arxiv.org/abs/2411.09295
Autor:
Talalaev, Dmitry V.
In 1991, Gelfand and Retakh embodied the idea of a noncommutative Dieudonne determinant in the case of RTT algebra, namely, they found a representation of the quantum determinant of RTT algebra in the form of a product of principal quasi-determinants
Externí odkaz:
http://arxiv.org/abs/2406.07434
The principal aim of this article is to introduce and study n-valued quandles and n-corack bialgebras. We elaborate the basic methods of this theory, reproduce the coset construction known in the theory of n-valued groups. We also consider a construc
Externí odkaz:
http://arxiv.org/abs/2312.12007
The paper is devoted to the algebraic and geometric aspects of the full symmetric Toda system. We construct a solution to the complete Deift-Li-Nanda-Tomei flows system using the QR decomposition method. For this purpose we introduce specialized inva
Externí odkaz:
http://arxiv.org/abs/2212.09148
Autor:
Dmitry V. Talalaev
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100898- (2024)
In 1991, Gelfand and Retakh embodied the idea of a noncommutative Dieudonne determinant for a generating matrix of RTT algebra, namely, they found a representation of the quantum determinant of RTT algebra in the form of a product of principal quasi-
Externí odkaz:
https://doaj.org/article/152133ec6d294962b94cea11fa9633d2
The paper extends the notion of braided set and its close relative - the Yang-Baxter set - to the category of vector spaces and explore structure aspects of such a notion as morphisms and extensions. In this way we describe a family of solutions for
Externí odkaz:
http://arxiv.org/abs/2206.09629
Autor:
Talalaev, Dmitry
This note is a modest addition to the work arXiv:2109.13952. Here we construct an embedding of the space of electrical networks to the totally non-negative Lagrangian Grassmannian in a generic situation with the help of the technique of vertex integr
Externí odkaz:
http://arxiv.org/abs/2110.00935
We refine the result of T. Lam \cite{L} on embedding the space $E_n$ of electrical networks on a planar graph with $n$ boundary points into the totally non-negative Grassmannian $\mathrm{Gr}_{\geq 0}(n-1,2n)$ by proving first that the image lands in
Externí odkaz:
http://arxiv.org/abs/2109.13952
Publikováno v:
SIGMA 17 (2021), 035, 30 pages
We explore several types of functional relations on the family of multivariate Tutte polynomials: the Biggs formula and the star-triangle ($Y-\Delta$) transformation at the critical point $n=2$. We deduce the theorem of Matiyasevich and its inverse f
Externí odkaz:
http://arxiv.org/abs/2005.10288
Autor:
Gorbounov, Vassily, Talalaev, Dmitry
We propose a new approach to studying electrical networks interpreting the Ohm law as the operator which solves certain Local Yang-Baxter equation. Using this operator and the medial graph of the electrical network we define a vertex integrable stati
Externí odkaz:
http://arxiv.org/abs/1905.03522