Browsing Mathematics by Author "Athreya, Jayadev"
Now showing items 1-5 of 5
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A Complete Implementation of Graphlopedia: A Fingerprint Database for Graphs
Chandra, SharatThe OEIS is a widely used and incredibly powerful tool to catalogue user-submitted sequences of interest to the mathematical community, and to associate with them a list of citations where these sequences can be found. In ... -
An Extremal Property of the Square Lattice
Helms, Paige\nI{Motivated} by a 2019 result of Faulhuber-Steinerberger \cite{extremal} on the hexagonal lattice $\Lambda$, we demonstrate that the square lattice $\Z^2$ exhibits the same local extremal property as $\Lambda$, where ... -
Counting social interactions for discrete subsets of the plane
Fairchild, Samantha KayWe will use dynamical, geometric, and analytic techniques to study translation surfaces. A translation surface is, informally, a collection of polygons in the plane with parallel sides identified by translation to form a ... -
On Cross Sections to the Horocycle and Geodesic Flows on Quotients by Hecke Triangle Groups
Taha, DiaaeldinThe study of continuous dynamical systems via surfaces of section is one of the standard techniques in nonlinear mathematics. This is done by considering the intersections of trajectories in a phase space with a subspace ... -
The Laplacian: An Exploration and Historical Survey Tailored for Translation Surfaces
Southerland, JoshuaThis thesis is a historical survey of the Laplacian as an operator on $L^2$-functions specifically geared towards building the understanding necessary to define a Laplacian on a translation surface. The author explores ...