Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Alexander Kolpakov"'
Publikováno v:
International Mathematics Research Notices. 2023:7961-7975
In this note we show that every integer is the signature of a non-compact, oriented, hyperbolic 4-manifold of finite volume, and give some partial results on the geography of such manifolds. The main ingredients are a theorem of Long and Reid, and th
Autor:
Maria Dostert, Alexander Kolpakov
Publikováno v:
Canadian Mathematical Bulletin. 66:103-113
We discuss several ways of packing a hyperbolic surface with circles (of either varying radii or all being congruent) or horocycles, and note down some observations related to their symmetries (or the absence thereof).
Comment: 11 pages, 4 figur
Comment: 11 pages, 4 figur
Autor:
Caley Johnson, Jeff Cappellucci, Lauren Spath Luhring, Maria St. Louis-Sanchez, Fan Yang, Abby Brown, Austin Sipiora, Alexander Kolpakov, Xiaopeng Li, Qianwen Li, Sean White, John Gonzales, Erin Nobler, Eric Wood
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::76068878b8855251b78f7d9316065f4a
https://doi.org/10.2172/1906866
https://doi.org/10.2172/1906866
Publikováno v:
Proceedings of the London Mathematical Society. 123:636-648
In the present paper, we construct a cusped hyperbolic $4$-manifold with all cusp sections homeomorphic to the Hantzsche-Wendt manifold, which is a rational homology sphere. By a result of Gol\'enia and Moroianu, the Laplacian on $2$-forms on such a
Publikováno v:
Transportation Research Record: Journal of the Transportation Research Board. 2676:655-665
This case study presents findings from an analysis of the emergency preparation and response for Hurricane Irma, the most recent hurricane impacting the Tampa Bay region. The Tampa Bay region, in particular, is considered one of the most vulnerable a
Autor:
Nikolay Bogachev, Alexander Kolpakov
Publikováno v:
International Mathematics Research Notices. 2021:3078-3096
We prove that each lower-dimensional face of a quasi-arithmetic Coxeter polytope, which happens to be itself a Coxeter polytope, is also quasi-arithmetic. We also provide a sufficient condition for a codimension $1$ face to be actually arithmetic, as
Autor:
Michelle Chu, Alexander Kolpakov
Publikováno v:
International Mathematics Research Notices. 2022:2460-2483
The purpose of the present paper is to prove existence of super-exponentially many compact orientable hyperbolic arithmetic $n$-manifolds that are geometric boundaries of compact orientable hyperbolic $(n+1)$-manifolds, for any $n \geq 2$, thereby es
Publikováno v:
Proceedings of the 15th International Joint Conference on Biomedical Engineering Systems and Technologies.
Autor:
Laura Ciobanu, Alexander Kolpakov
Publikováno v:
Discrete Mathematics. 342:1415-1433
We derive a generating series for the number of free subgroups of finite index in $\Delta^+ = \mathbb{Z}_p*\mathbb{Z}_q$ by using a connection between free subgroups of $\Delta^+$ and certain hypermaps (also known as ribbon graphs or "fat" graphs), a
Autor:
Maria Dostert, Alexander Kolpakov
Publikováno v:
Trends in Mathematics ISBN: 9783030838225
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88bdfdcf5a362c56143ff40210d9015c
https://doi.org/10.1007/978-3-030-83823-2_92
https://doi.org/10.1007/978-3-030-83823-2_92