Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Dmitry Bolotov"'
Publikováno v:
Regular and Chaotic Dynamics. 24:717-724
We study the dynamics of the ring of identical phase oscillators with nonlinear nonlocal coupling. Using the Ott - Antonsen approach, the problem is formulated as a system of partial derivative equations for the local complex order parameter. In this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f6665c6ead560c2e9b58ca1b38fd410
https://doi.org/10.1134/s1560354719060091
https://doi.org/10.1134/s1560354719060091
Autor:
Dmitry Bolotov, Nikolay Mezhevich
Publikováno v:
Управленческое консультирование, Vol 0, Iss 7, Pp 122-127 (2019)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85d84cc363dc773e1461c2ac43f6061e
https://www.acjournal.ru/jour/article/view/1162
https://www.acjournal.ru/jour/article/view/1162
Autor:
Alexander Dranishnikov, Dmitry Bolotov
Publikováno v:
Journal of Topology and Analysis. :571-587
Gromov’s conjecture states that for a closed [Formula: see text]-manifold [Formula: see text] with positive scalar curvature, the macroscopic dimension of its universal covering [Formula: see text] satisfies the inequality [Formula: see text] [9].
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::51c7b373518c8350ad2953eb643e3221
https://doi.org/10.1142/s1793525316500230
https://doi.org/10.1142/s1793525316500230
Autor:
Dmitry Bolotov
Publikováno v:
Reports of the National Academy of Sciences of Ukraine. :12-17
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d627fc0f499b65d9bab86a891ee12f2
https://doi.org/10.15407/dopovidi2014.12.012
https://doi.org/10.15407/dopovidi2014.12.012
Autor:
Dmitry Bolotov, Alexander Dranishnikov
Publikováno v:
Proceedings of the American Mathematical Society. 138:1517-1524
We prove the Gromov conjecture on the macroscopic dimension of the universal covering of a closed spin manifold with a positive scalar curvature under the following assumptions on the fundamental group.0.10.1.Theorem.Suppose that a discrete groupπ\p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c8a69ed177ae6cabcb94a6814234f7d3
https://doi.org/10.1090/s0002-9939-09-10199-5
https://doi.org/10.1090/s0002-9939-09-10199-5
Autor:
Dmitry Bolotov
Publikováno v:
Algebr. Geom. Topol. 9, no. 1 (2009), 21-27
In this note we give a partial answer to Gromov’s question about macroscopic dimension filling of a closed spin PSC–Manifold’s universal covering.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::987166ddcd4440c043fdb7e4bde893e8
https://doi.org/10.2140/agt.2009.9.21
https://doi.org/10.2140/agt.2009.9.21
Autor:
Dmitry Bolotov
Publikováno v:
Mathematical Physics, Analysis and Geometry. 6:291-299
In this paper we give the answer to the Gromov's question about the macroscopic dimension of universal coverings of closed manifolds in dimension 3. We prove that the macroscopic dimension of a universal covering of a closed Riemannian 3-manifold can
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b5524f372020785b91bc7641d21b4bb5
https://doi.org/10.1023/a:1024994930786
https://doi.org/10.1023/a:1024994930786
Autor:
Dmitry Bolotov
Publikováno v:
Foliations 2005.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::323228dd9c52ac6611f144812c07596b
https://doi.org/10.1142/9789812772640_0006
https://doi.org/10.1142/9789812772640_0006