Zobrazeno 1 - 10
of 5 322
pro vyhledávání: '"Bogachev, A. A."'
Autor:
Bogachev, Vladimir I.
We prove pseudocompactness of a Tychonoff space $X$ and the space $\mathcal{P}(X)$ of Radon probability measures on it with the weak topology under the condition that the Stone-\v{C}ech compactification of the space $\mathcal{P}(X)$ is homeomorphic t
Externí odkaz:
http://arxiv.org/abs/2403.15573
Autor:
Bogachev, Nikolay, Yorov, Khusrav
In 1974, Kaplinskaja classified all simplicial straight hyperbolic Coxeter prisms. In this paper, we determine precisely which of these prisms are properly quasi-arithmetic or arithmetic. We also present some observations regarding commensurability c
Externí odkaz:
http://arxiv.org/abs/2312.17193
Autor:
Kulyabin, Mikhail, Zhdanov, Aleksei, Nikiforova, Anastasia, Stepichev, Andrey, Kuznetsova, Anna, Ronkin, Mikhail, Borisov, Vasilii, Bogachev, Alexander, Korotkich, Sergey, Constable, Paul A, Maier, Andreas
Publikováno v:
Scientific Data 11.1 (2024): 365
Optical coherence tomography (OCT) is a non-invasive imaging technique with extensive clinical applications in ophthalmology. OCT enables the visualization of the retinal layers, playing a vital role in the early detection and monitoring of retinal d
Externí odkaz:
http://arxiv.org/abs/2312.08255
A group is LERF (locally extended residually finite) if all its finitely generated subgroups are separable. We prove that the trialitarian arithmetic lattices in $\mathbf{PSO}_{7,1}(\mathbb{R})$ are not LERF. This result, together with previous work
Externí odkaz:
http://arxiv.org/abs/2310.20611
We prove that certain families of compact Coxeter polyhedra in 4- and 5-dimensional hyperbolic space constructed by Makarov give rise to infinitely many commensurability classes of reflection groups in these dimensions.
Comment: Final version, t
Comment: Final version, t
Externí odkaz:
http://arxiv.org/abs/2309.07691
Autor:
Yu. S. Bogachev, S. R. Bekulova
Publikováno v:
Мир новой экономики, Vol 18, Iss 2, Pp 113-125 (2024)
In the context of the turbulence of the global economy, the relevance of research aimed at determining the ability to ensure the sustainable development of national economies within the current model of global economic development is increasing. The
Externí odkaz:
https://doaj.org/article/20b10e1ed95c4714bc18ae3619ab5667
Publikováno v:
Патология кровообращения и кардиохирургия, Vol 28, Iss 2, Pp 62-72 (2024)
Актуальность. Механические протезы клапанов сердца при всем многообразии моделей имеют общий недостаток: их форма и особенности строен
Externí odkaz:
https://doaj.org/article/ece3129b03cb44348e5fb7c9390c31d1
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
Publikováno v:
The Astrophysical Journal, 931:93 (2022)
In the solar corona, magnetic reconnection occurs due to the finite resistivity of the plasma. At the same time, resistivity leads to ohmic heating. Therefore, the reconnecting current sheet should heat the surrounding plasma. This paper presents exp
Externí odkaz:
http://arxiv.org/abs/2306.02355
Autor:
Bogachev, Nikolay, Douba, Sami
The L\"obell polyhedra form an infinite family of compact right-angled hyperbolic polyhedra in dimension $3$. We observe, through both elementary and more conceptual means, that the ``systoles'' of the L\"obell polyhedra approach $0$, so that these p
Externí odkaz:
http://arxiv.org/abs/2304.12590