4 papers
The Feynman path integral formulation of non-dispersive Airy wave packets and their applications to the heavy meson mass spectra and ultra-cold neutrons
Paul Ferrante, Connor Donovan, Chueng-Ryong Ji
We demonstrate the non-spreading behavior of Airy wave packets utilizing the Feynman path integral formulation of a linear potential, the Airy functions' zeros correspondence to he…
Colorful and Quantitative Variations of Krasnosselsky's Theorem
Connor Donovan, Danielle Paulson, Pablo Soberón
Krasnosselsky's art gallery theorem gives a combinatorial characterization of star-shaped sets in Euclidean spaces, similar to Helly's characterization of finite families of convex…
Star clusters in the Matching, Morse, and Generalized Morse complex
Connor Donovan, Nicholas A. Scoville
In this paper, we determine the homotopy type of the Morse complex and matching complex of multiple families of complexes by utilizing star cluster collapses and the Cluster Lemma.…
On the homotopy and strong homotopy type of complexes of discrete Morse functions
Connor Donovan, Maxwell Lin, Nicholas A. Scoville
In this paper, we determine the homotopy type of the Morse complex of certain collections of simplicial complexes by studying dominating vertices or strong collapses. We show that…