20 citations · 40 across the 12 of their papers we have counts for
7 papers · 1 filter
Gromov-Hausdorff Distances Between Spheres: Asymptotics and Vietoris-Rips Coindex Bounds
Sunhyuk Lim, Facundo Mémoli, Qingsong Wang
For , let be the infimum of the scales at which the Vietoris-Rips simplicial complex of the unit round sphere , equipped with its geodesic met…
The Gromov-Hausdorff Distance Between Consecutive Spheres
Donghan Kim, Sunhyuk Lim, Facundo Memoli
We determine the Gromov-Hausdorff distance between consecutive unit round spheres equipped with their geodesic metrics. Put the common geodesic dis…
The G-Gromov-Hausdorff Distance and Equivariant Topology
Sunhyuk Lim, Facundo Memoli
For each arbitrary finite group , we consider a suitable notion of Gromov Hausdorff distance between compact metric spaces and derive lower bounds based on equivariant topol…
The Gromov-Wasserstein distance between spheres
Shreya Arya, Arnab Auddy, Ranthony Edmonds +3
In this paper we consider a two-parameter family {dGWp,q}p,q of Gromov- Wasserstein distances between metric measure spaces. By exploiting a suitable interaction between specific v…
Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes
Henry Adams, Johnathan Bush, Nate Clause +13
We explore emerging relationships between the Gromov--Hausdorff distance, Borsuk--Ulam theorems, and Vietoris--Rips simplicial complexes. The Gromov--Hausdorff distance between two…
Some results about the Tight Span of spheres
Sunhyuk Lim, Facundo Memoli, Zhengchao Wan +2
The smallest hyperconvex metric space containing a given metric space X is called the tight span of X. It is known that tight spans have many nice geometric and topological propert…
The Gromov-Hausdorff distance between spheres
Sunhyuk Lim, Facundo Mémoli, Zane Smith
We provide general upper and lower bounds for the Gromov-Hausdorff distance between spheres and (endowed…