Zobrazeno 1 - 10
of 1 666
pro vyhledávání: '"A. A. Petrunin"'
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
Autor:
Lebedeva, Nina, Petrunin, Anton
We show that trees and their products meet octahedron comparison.
Comment: 4 pages, 4 figures
Comment: 4 pages, 4 figures
Externí odkaz:
http://arxiv.org/abs/2212.06445
Publikováno v:
Известия высших учебных заведений. Поволжский регион: Медицинские науки, Iss 2 (2024)
Background. Echinococcosis is an endemic disease that is accompanied by severe complications and a high recurrence rate. The lack of unified approaches to the choice of surgical treatment and principles of prevention arouses interest in this disease
Externí odkaz:
https://doaj.org/article/bb67a1bacbf7421e8c256849babe1cdb
Autor:
Lebedeva, Nina, Petrunin, Anton
Publikováno v:
Algebra i Analiz 35:3 (2023), 52--56
A metric space is said to be all-set-homogeneous if any of its partial isometries can be extended to a genuine isometry. We give a classification of a certain subclass of all-set-homogeneous length spaces.
Comment: English+Russian, 4+4 pages, 1+
Comment: English+Russian, 4+4 pages, 1+
Externí odkaz:
http://arxiv.org/abs/2211.09671
Publikováno v:
In Information Fusion February 2025 114
Autor:
Lebedeva, Nina, Petrunin, Anton
We prove weak convergence of curvature tensors of Riemannian manifolds for converging noncollapsing sequences with a lower bound on sectional curvature.
Comment: 32 pages, 2 figures
Comment: 32 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/2202.13420
Autor:
Lebedeva, Nina, Petrunin, Anton
Publikováno v:
Int. Math. Res. Not. IMRN(2024), no 5, 3601--3624
We give an if-and-only-if condition on a five-point metric spaces that admit embeddings into nonnegatively curved Riemannian manifolds.
Comment: 19 pages, 37 figures
Comment: 19 pages, 37 figures
Externí odkaz:
http://arxiv.org/abs/2202.13049
Autor:
Lytchak, Alexander, Petrunin, Anton
Publikováno v:
Israel J. Math. 255 (2023), no. 2, 763--781
We analyze weak convergence on CAT(0) spaces and the existence and properties of corresponding weak topologies.
Externí odkaz:
http://arxiv.org/abs/2107.09295
Autor:
Lytchak, Alexander, Petrunin, Anton
Publikováno v:
J. Optim. Theory Appl. 194 (2022), no 2, 636--642
We show that cyclic products of projections onto convex subsets of Hadamard spaces can behave in a more complicated way than in Hilbert spaces, resolving a problem formulated by Miroslav Ba\v{c}\'ak. Namely, we construct an example of convex subsets
Externí odkaz:
http://arxiv.org/abs/2104.09026