2 citations · 2 across the 2 of their papers we have counts for
2 papers
math.AT2024
Mixup Barcodes: Quantifying Geometric-Topological Interactions between Point Clouds
Hubert Wagner, Nickolas Arustamyan, Matthew Wheeler +1
We combine standard persistent homology with image persistent homology to define a novel way of characterizing shapes and interactions between them. In particular, we introduce: (1…
math-ph2021★ 2 cited
On the Number of Equilibria Balancing Newtonian Point Masses with a Central Force
Nickolas Arustamyan, Christopher Cox, Erik Lundberg +2
We consider the critical points (equilibria) of a planar potential generated by Newtonian point masses augmented with a quadratic term (such as arises from a centrifugal effect…