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math.MG2026
Gromov--Hausdorff Distance Between Euclidean Unit Balls
Henry Adams, Kushagri Sharma
What is the Gromov--Hausdorff distance between Euclidean unit balls of different dimensions, denoted by $d_\gh(B^m,B^n)$, for ? Note that the lower bound coming from the stabi…
math.MG2019
Metric thickenings and group actions
Henry Adams, Mark Heim, Chris Peterson
Let be a group acting properly and by isometries on a metric space ; it follows that the quotient or orbit space is also a metric space. We study the Vietoris-Rips and…
math.MG2018
Vietoris-Rips Complexes of Regular Polygons
Henry Adams, Samir Chowdhury, Adam Quinn Jaffe +1
Persistent homology has emerged as a novel tool for data analysis in the past two decades. However, there are still very few shapes or even manifolds whose persistent homology barc…