7 citations · 20 across the 10 of their papers we have counts for
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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 ultrametric spaces: its structure and computation
Facundo Mémoli, Zane Smith, Zhengchao Wan
The Gromov-Hausdorff distance () provides a natural way of quantifying the dissimilarity between two given metric spaces. It is known that computing …
Characterization of Gromov-type geodesics
Facundo Mémoli, Zhengchao Wan
The collection of all isometry classes of compact metric spaces endowed with the Gromov-Hausdorff distance is known to be a geodesic space. However,…
The ultrametric Gromov-Wasserstein distance
Facundo Mémoli, Axel Munk, Zhengchao Wan +1
In this paper, we investigate compact ultrametric measure spaces which form a subset of the collection of all metric measure spaces . Similar as for…
A novel construction of Urysohn universal ultrametric space via the Gromov-Hausdorff ultrametric
Zhengchao Wan
We establish universality and ultra-homogeneity of , the collection of all compact ultrametric spaces endowed with the so-called Gromov-Hausdorff ultra…
On -metric spaces and the -Gromov-Hausdorff distance
Facundo Mémoli, Zhengchao Wan
For each given we investigate certain sub-family of the collection of all compact metric spaces which are characterized by the satisf…