23 citations · 43 across the 3 of their papers we have counts for
3 papers
Persistent homology as a probe for center vortices and deconfinement in SU(2) lattice gauge theory
Nicholas Sale, Biagio Lucini, Jeffrey Giansiracusa
Topological Data Analysis (TDA) is a field that leverages tools and ideas from algebraic topology to provide robust methods for analysing geometric and topological aspects of data.…
Probing center vortices and deconfinement in lattice gauge theory with persistent homology
Nicholas Sale, Biagio Lucini, Jeffrey Giansiracusa
We investigate the use of persistent homology, a tool from topological data analysis, as a means to detect and quantitatively describe center vortices in lattice g…
Quantitative analysis of phase transitions in two-dimensional XY models using persistent homology
Nicholas Sale, Jeffrey Giansiracusa, Biagio Lucini
We use persistent homology and persistence images as an observable of three different variants of the two-dimensional XY model in order to identify and study their phase transition…