2 papers
math.AP2024
Clearing-out of dipoles for minimisers of 2-dimensional discrete energies with topological singularities
Adriana Garroni, Mircea Petrache, Emanuele Spadaro
A key question in the analysis of discrete models for material defects, such as vortices in spin systems and superconductors or isolated dislocations in metals, is whether informat…
cs.CG2024
A Class of Topological Pseudodistances for Fast Comparison of Persistence Diagrams
Rolando Kindelan Nuñez, Mircea Petrache, Mauricio Cerda +1
Persistence diagrams (PD)s play a central role in topological data analysis, and are used in an ever increasing variety of applications. The comparison of PD data requires computin…