3 citations · 6 across the 8 of their papers we have counts for
8 papers
Asymptotics of the Meandering Number of a Cyclic Permutation
Charles Daly, Diaaeldin Taha
A cyclic meander is an embedded oriented loop in the plane intersecting a fixed infinite line, or circle, transversely in a linearly ordered set of points. By keeping track of…
Resolving Thinness of Degree-Six Symplectic Hypergeometric Monodromy Groups
J. Maxwell Riestenberg, Diaaeldin Taha, Steve Trettel +1
We prove arithmeticity for two degree-six symplectic hypergeometric monodromy groups and thinness for a third case. These are the three open cases called C-32, C-47, and C-55 in th…
Normed Spaces for Graph Embedding
Diaaeldin Taha, Wei Zhao, J. Maxwell Riestenberg +1
Theoretical results from discrete geometry suggest that normed spaces can abstractly embed finite metric spaces with surprisingly low theoretical bounds on distortion in low dimens…
Modeling Graphs Beyond Hyperbolic: Graph Neural Networks in Symmetric Positive Definite Matrices
Wei Zhao, Federico Lopez, J. Maxwell Riestenberg +3
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…
On The Limiting Distribution of Free Path Lengths for Flat Surfaces with Circular Obstacles
Diaaeldin Taha
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. Moreo…
On Cross Sections to the Geodesic and Horocycle Flows on Quotients of by Hecke Triangle Groups
Diaaeldin Taha
In this paper, we provide a model for cross sections to the geodesic and horocycle flows on using an extension of a heuristic of P. Arnoux an…
The Boca-Cobeli-Zaharescu Map Analogue for the Hecke Triangle Groups
Diaaeldin Taha
The Farey sequence at level is the sequence of irreducible fractions in with denominators not exceeding , arranged in increasing order of magnitude…
The Three Gap Theorem, Interval Exchange Transformations, and Zippered Rectangles
Diaaeldin Taha
The Three Gap Theorem states that for any and any integer , the fractional parts of the sequence partition the unit interval into…