Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Taha, Diaaeldin"'
Theoretical results from discrete geometry suggest that normed spaces can abstractly embed finite metric spaces with surprisingly low theoretical bounds on distortion in low dimensions. In this paper, inspired by this theoretical insight, we highligh
Externí odkaz:
http://arxiv.org/abs/2312.01502
Autor:
Zhao, Wei, Lopez, Federico, Riestenberg, J. Maxwell, Strube, Michael, Taha, Diaaeldin, Trettel, Steve
Recent research has shown that alignment between the structure of graph data and the geometry of an embedding space is crucial for learning high-quality representations of the data. The uniform geometry of Euclidean and hyperbolic spaces allows for r
Externí odkaz:
http://arxiv.org/abs/2306.14064
Autor:
Taha, Diaaeldin
In this note, we prove the existence of a limiting distribution of the free path lengths on flat surfaces with circular obstacles as the radius of the obstacles goes to zero. Moreover, we relate this distribution to the distribution of the heights of
Externí odkaz:
http://arxiv.org/abs/2112.12851
Autor:
Taha, Diaaeldin
In this paper, we provide a model for cross sections to the geodesic and horocycle flows on $\operatorname{SL}(2, \mathbb{R})/G_q$ using an extension of a heuristic of P. Arnoux and A. Nogueira. Our starting point is a continued fraction algorithm re
Externí odkaz:
http://arxiv.org/abs/1906.07250
Autor:
Taha, Diaaeldin
The Farey sequence $\mathcal{F}(Q)$ at level $Q$ is the sequence of irreducible fractions in $[0, 1]$ with denominators not exceeding $Q$, arranged in increasing order of magnitude. A simple ``next-term'' algorithm exists for generating the elements
Externí odkaz:
http://arxiv.org/abs/1810.10668
Autor:
Taha, Diaaeldin
The Three Gap Theorem states that for any $\alpha \in (0,1)$ and any integer $N \geq 1$, the fractional parts of the sequence $0, \alpha, 2\alpha, \cdots, (N-1)\alpha$ partition the unit interval into $N$ subintervals having at most \emph{three} dist
Externí odkaz:
http://arxiv.org/abs/1708.04380
Autor:
Taha, Diaaeldin
Publikováno v:
IMRN: International Mathematics Research Notices; Feb2023, Vol. 2023 Issue 4, p2996-3003, 8p
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.