Zobrazeno 1 - 10
of 4 519
pro vyhledávání: '"Veselov, A."'
A few years ago Morier-Genoud and Ovsienko introduced an interesting quantization of the real numbers as certain power series in a quantization parameter $q.$ It is known now that the golden ratio has minimal radius among all these series. We study t
Externí odkaz:
http://arxiv.org/abs/2410.15666
We study the harmonic locus consisting of the monodromy-free Schr\"odinger operators with rational potential and quadratic growth at infinity. It is known after Oblomkov that it can be identified with the set of all partitions via the Wronskian map f
Externí odkaz:
http://arxiv.org/abs/2404.18471
Autor:
Buchstaber, V. M., Veselov, A. P.
We use the differential algebra of polytopes to explain the known remarkable relation of the combinatorics of the associahedra and permutohedra with the compositional and multiplicative inversion of formal power series. This approach allows to single
Externí odkaz:
http://arxiv.org/abs/2402.07168
We study a delay-differential analogue of the first Painlev\'e equation obtained as a delay periodic reduction of Shabat's dressing chain. We construct formal entire solutions to this equation and introduce a new family of polynomials (called Bernoul
Externí odkaz:
http://arxiv.org/abs/2401.08343
Autor:
Boissé, Guillaume, Meunier, Sylvain, de Dinechin, Heloise, Bartels, Pieterjan, Veselov, Alexander, Eto, Kenta, Harada, Takahiro
Real-time global illumination is key to enabling more dynamic and physically realistic worlds in performance-critical applications such as games or any other applications with real-time constraints.Hardware-accelerated ray tracing in modern GPUs allo
Externí odkaz:
http://arxiv.org/abs/2310.19855
Publikováno v:
Proceedings of the Steklov Institute of Mathematics, 2024, Vol. 325, 74-85
In 1956 Hirzebruch found an explicit formula for the denominators of the Todd polynomials, which was proved later in his joint work with Atiyah. We present a new formula for the Todd polynomials in terms of the ``forgotten symmetric functions", which
Externí odkaz:
http://arxiv.org/abs/2310.07383
We establish a link between the new theory of $q$-deformed rational numbers and the classical Burau representation of the braid group $\mathrm{B}_3$. We apply this link to the open problem of classification of faithful complex specializations of this
Externí odkaz:
http://arxiv.org/abs/2309.04240
Autor:
V. A. Veselov
Publikováno v:
Вестник Московского Университета. Серия XXV: Международные отношения и мировая политика, Vol 16, Iss 1, Pp 7-50 (2024)
Against the backdrop of the rapid degradation and destruction of the international security architecture dating back to the Cold War, the problems of arms control in general and the proliferation of nuclear weapons in particular assume new significan
Externí odkaz:
https://doaj.org/article/dd0b13a1b97b42a7800f9cd82e9e3c3e
Publikováno v:
Uspekhi Mat. Nauk 77:4(466) (2022), 91-172 (in Russian); English transl. in: Russian Math. Surveys, 77:4 (2022), 651-727
A complete classification of finitely generated involutive commutative two-valued groups is obtained. Three series of such two-valued groups are constructed: principal, unipotent and special, and it is shown that any finitely generated involutive com
Externí odkaz:
http://arxiv.org/abs/2302.05909
Autor:
Veselov, A. P., Ye, Y.
The geodesic problem on the compact threefolds with the Riemannian metric of Bianchi-VII$_0$ type is studied in both classical and quantum cases. We show that the problem is integrable and describe the eigenfunctions of the corresponding Laplace-Belt
Externí odkaz:
http://arxiv.org/abs/2212.12026