Zobrazeno 1 - 10
of 1 085
pro vyhledávání: '"Vesnin, A."'
Autor:
Egorov, Andrei, Vesnin, Andrei
The Vol-Det Conjecture, formulated by Champanerkar, Kofman and Purcell, states that there exists a specific inequality connecting the hyperbolic volume of an alternating link and its determinant. Among the classes of links for which this conjecture h
Externí odkaz:
http://arxiv.org/abs/2411.11711
In recent years, diffusion models have become one of the main methods for generating images. However, detecting images generated by these models remains a challenging task. This paper proposes a novel method for detecting images generated by Latent D
Externí odkaz:
http://arxiv.org/abs/2411.06441
Autor:
Oshmarina, Olga, Vesnin, Andrei
Let $K_n$ be a complete graph with $n$ vertices. An embedding of $K_n$ in $S^3$ is called a spatial $K_n$-graph. Knots in a spatial $K_n$-graph corresponding to simple cycles of $K_n$ are said to be constituent knots. We consider the case $n=4$. The
Externí odkaz:
http://arxiv.org/abs/2404.12264
We study a more general version of the hybrid construction of Gromov and Piatetski--Shapiro, where the building blocks are no longer assumed to be arithmetic. We show that if such a general hyberbolic hybrid of dimension $\geqslant 3$ is quasi-arithm
Externí odkaz:
http://arxiv.org/abs/2307.07000
Autor:
Egorov, Andrey, Vesnin, Andrei
Publikováno v:
Siberian Mathematical Journal, 2024, vol. 65, no. 3, pp. 534-551
A polyhedron in a three-dimensional hyperbolic space is said to be generalized if finite, ideal and truncated vertices are admitted. In virtue of Belletti's theorem (2021) the exact upper bound for volumes of generalized hyperbolic polyhedra with the
Externí odkaz:
http://arxiv.org/abs/2307.04543
Autor:
Chuzhinov, Bogdan, Vesnin, Andrey
Representations of braid group $B_n$ on $n \geq 2$ strands by automorphisms of a free group of rank $n$ go back to Artin (1925). In 1991 Kauffman introduced a theory of virtual braids and virtual knots and links. The virtual braid group $VB_n$ on $n
Externí odkaz:
http://arxiv.org/abs/2306.11239
Autor:
Y. V. Yasyukevich, A. M. Vesnin, E. Astafyeva, B. M. Maletckii, V. P. Lebedev, A. M. Padokhin
Publikováno v:
Geophysical Research Letters, Vol 51, Iss 16, Pp n/a-n/a (2024)
Abstract On 18 November 2023, SpaceX launched the Starship, the tallest and the most powerful rocket ever built. The Super Heavy engine separated from the Starship spacecraft and exploded at 90 km of altitude, while the main core Starship continued t
Externí odkaz:
https://doaj.org/article/f1f90293e91b4cd49a04510055035056
Autor:
Chuanfu Chen, Ilya Pavlov, Artem Padokhin, Yury Yasyukevich, Vladislav Demyanov, Ekaterina Danilchuk, Artem Vesnin
Publikováno v:
Sensors, Vol 24, Iss 19, p 6472 (2024)
For decades, GNSS code measurements were much noisier than phase ones, limiting their applicability to ionospheric total electron content (TEC) studies. Ultra-wideband AltBOC signals changed the situation. This study revisits the Galileo E5 and BeiDo
Externí odkaz:
https://doaj.org/article/44de4e415136479e883fc5aee857b174
In this paper we obtain new upper bounds on volumes of right-angled polyhedra in hyperbolic space $\mathbb{H}^3$ in three different cases: for ideal polyhedra with all vertices on the ideal hyperbolic boundary, for compact polytopes with only finite
Externí odkaz:
http://arxiv.org/abs/2111.08789
F-polynomials for virtual knots were defined by Kaur, Prabhakar and Vesnin in 2018 using flat virtual knot invariants. These polynomials naturally generalize Kauffman's affine index polynomial and use smoothing in classical crossing of a virtual knot
Externí odkaz:
http://arxiv.org/abs/2111.04526