Facundo Mémoli

activity

20162026

most citedPersistent Laplacians: properties, algorithms and implications

60 citations · 98 across the 27 of their papers we have counts for

collaborators

Showing 2022 · math.ATShow all

3 papers · 2 filters

math.AT2022

Persistent Cup Product Structures and Related Invariants

Facundo Mémoli, Anastasios Stefanou, Ling Zhou

One-dimensional persistent homology is arguably the most important and heavily used computational tool in topological data analysis. Additional information can be extracted from da…

math.AT2022

Homology groups of the curvature sets of $S^{1}$

Peter Eastwood, Anna M. Ellison, Mario Gómez +1

For $n \geq 2$ , the $n$ -th curvature set of a metric space $X$ is the set consisting of all $n$ -by- $n$ distance matrices of $n$ points sampled from $X$ . Curvature sets can be regar…

math.AT2022

Ephemeral persistence features and the stability of filtered chain complexes

Facundo Mémoli, Ling Zhou

We strengthen the usual stability theorem for Vietoris-Rips (VR) persistent homology of finite metric spaces by building upon constructions due to Usher and Zhang in the context of…

Persistent Cup Product Structures and Related Invariants

Homology groups of the curvature sets of S1

Ephemeral persistence features and the stability of filtered chain complexes

Homology groups of the curvature sets of $S^{1}$