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4 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…
Certifying Arithmeticity for Two 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, called C-47, and C-55 in the paper \cite{BajpaiDonaNitsche2025Thin} by Bajpai-Dona-Nitsche. Th…
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…