Zobrazeno 1 - 10
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pro vyhledávání: '"Nansen P"'
Autor:
Petrosyan, Nansen, Sun, Bin
We initiate the study of the $L^2$-Betti numbers of group-theoretic Dehn fillings. For a broad class of virtually special groups $G$, we prove that the $L^2$-Betti numbers of sufficiently deep Dehn fillings $\overline{G}$ are equal to those of $G$. A
Externí odkaz:
http://arxiv.org/abs/2412.16090
For any geodesic metric space $X$, we give a complete cohomological characterisation of the hyperbolicity of $X$ in terms of vanishing of its second $\ell^{\infty}$-cohomology. We extend this result to the relative setting of $X$ with a collection of
Externí odkaz:
http://arxiv.org/abs/2409.18871
Publikováno v:
Plant Methods, Vol 20, Iss 1, Pp 1-13 (2024)
Abstract In spatio-temporal plant monitoring, optical sensing (including hyperspectral imaging), is being deployed to, non-invasively, detect and diagnose plant responses to abiotic and biotic stressors. Early and accurate detection and diagnosis of
Externí odkaz:
https://doaj.org/article/26fe4f8c6a964937881acff4895b77e9
Publikováno v:
Cybersecurity, Vol 7, Iss 1, Pp 1-23 (2024)
Abstract The forward triage characteristic of telemedicine highlights its importance again in the COVID-19 pandemic. Telemedicine can provide timely emergency response in the case of environmental or biological hazards, and the patient’s medical pr
Externí odkaz:
https://doaj.org/article/a29265b6c8794322ace407548b177293
Autor:
Petrosyan, Nansen, Vankov, Vladimir
We generalise a theorem of Gersten on surjectivity of the restriction map in $\ell^{\infty}$-cohomology of groups. This leads to applications on subgroups of hyperbolic groups, quasi-isometric distinction of finitely generated groups and $\ell^{\inft
Externí odkaz:
http://arxiv.org/abs/2211.15575
The physical properties of two-dimensional (2D) materials may drastically vary with their thickness profiles. Current thickness profiling methods for 2D material (e.g., atomic force microscopy and ellipsometry) are limited in measurement throughput a
Externí odkaz:
http://arxiv.org/abs/2207.04256
We prove that the infinite family of asymptotic mapping class groups of surfaces of defined by Funar--Kapoudjian and Aramayona--Funar are of type $F_\infty$, thus answering questions of Funar-Kapoudjian-Sergiescu and Aramayona-Vlamis. As it turns out
Externí odkaz:
http://arxiv.org/abs/2110.05318
Autor:
Chung, Ho Yiu, Petrosyan, Nansen
An $n$-dimensional closed flat manifold is said to be of diagonal type if the standard representation of its holonomy group $G$ is diagonal. An $n$-dimensional Bieberbach group of diagonal type is the fundamental group of such a manifold. We introduc
Externí odkaz:
http://arxiv.org/abs/2011.07381
Autor:
Petrosyan, Nansen, Prytuła, Tomasz
We investigate strictly developable simple complexes of groups with arbitrary local groups, or equivalently, group actions admitting a strict fundamental domain. We introduce a new method for computing the cohomology of such groups. We also generalis
Externí odkaz:
http://arxiv.org/abs/2009.02161
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