7 citations · 11 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
The Distortion of the Reeb Quotient Map on Riemannian Manifolds
Facundo Mémoli, Osman Berat Okutan
Given a metric space and a function , the Reeb construction gives metric a space together with a quotient map . Under suitable conditions…