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pro vyhledávání: '"Petrunin, A A"'
Wildfires pose a significantly increasing hazard to global ecosystems due to the climate crisis. Due to its complex nature, there is an urgent need for innovative approaches to wildfire prediction, such as machine learning. This research took a uniqu
Externí odkaz:
http://arxiv.org/abs/2411.09844
Drone detection has benefited from improvements in deep neural networks, but like many other applications, suffers from the availability of accurate data for training. Synthetic data provides a potential for low-cost data generation and has been show
Externí odkaz:
http://arxiv.org/abs/2411.09077
Autor:
Petrunin, Anton
Suppose M is a closed submanifold in a Euclidean ball of large dimension. We give an optimal bound on the normal curvatures that guarantee that M is a sphere. The border cases consist of Veronese embeddings of the four projective planes.
Comment
Comment
Externí odkaz:
http://arxiv.org/abs/2408.05909
Autor:
Petrunin, Anton
We consider the following question: When does a Riemannian manifold admit an embedding with a uniformly thick tubular neighborhood in another Riemannian manifold of large dimension?
Comment: 12 pages 3 figures
Comment: 12 pages 3 figures
Externí odkaz:
http://arxiv.org/abs/2402.16195
Autor:
Petrunin, Anton
Publikováno v:
Geom. Funct. Anal. 34 (2024), no.1, 202--208
We give an optimal bound on normal curvatures of immersed n-torus in a Euclidean ball of large dimension.
Comment: 6 pages, 1 figure
Comment: 6 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2304.00886
Autor:
Mads Nibe Larsen, Anders Løchte Jørgensen, Victor Petrunin, Jakob Kjelstrup-Hansen, Bjarke Jørgensen, Mogens Hinge
Publikováno v:
Polymer Testing, Vol 141, Iss , Pp 108629- (2024)
Identification of black plastics poses a significant challenge in recycling due to the absorptive nature of carbon black additives. This work introduces a method where hyperspectral imaging in the long-wave infrared regime is used to distinguish betw
Externí odkaz:
https://doaj.org/article/0cad02b78d8649cf9a2e048289b4dd42
Publikováno v:
Earth and Space Science, Vol 11, Iss 11, Pp n/a-n/a (2024)
Abstract Wildfires pose a significantly increasing hazard to global ecosystems due to the climate crisis. Due to its complex nature, there is an urgent need for innovative approaches to wildfire prediction, such as machine learning. This research too
Externí odkaz:
https://doaj.org/article/f00af22b1bd44bae9078b00eee0b940d
Autor:
Petrunin, M. A.1 (AUTHOR) mmvp@bk.ru, Yurasova, T. A.1 (AUTHOR), Rybkina, A. A.1 (AUTHOR), Maksaeva, L. B.1 (AUTHOR)
Publikováno v:
Polymers (20734360). Nov2024, Vol. 16 Issue 21, p3066. 34p.
Autor:
Lebedeva, Nina, Petrunin, Anton
Written for the book "Mathematicians from Saint Petersburg and their theorems".
Comment: english+russian
Comment: english+russian
Externí odkaz:
http://arxiv.org/abs/2212.10479
Autor:
Lebedeva, Nina, Petrunin, Anton
Publikováno v:
Sib. Math. J. 64, 624--628 (2023)
Graph comparison is a certain type of condition on metric space encoded by a finite graph. We show that any nontrivial graph comparison implies one of Alexandrov's comparisons. The proof gives a complete description of graphs with trivial graph compa
Externí odkaz:
http://arxiv.org/abs/2212.08016