39 citations · 59 across the 8 of their papers we have counts for
5 papers · 1 filter
Identifying cobordisms using kernel persistence
Yossi Bokor Bleile, Lisbeth Fajstrup, Teresa Heiss +2
Motivated by applications in chemistry, we give a homlogical definition of tunnels, or more generally cobordisms, connecting disjoint parts of a cell complex. For a filtered comple…
Gromov-Hausdorff Distance for Directed Spaces
Lisbeth Fajstrup, Brittany Terese Fasy, Wenwen Li +4
The Gromov-Hausdorff distance measures the similarity between two metric spaces by isometrically embedding them into an ambient metric space. We introduce an analogue of this dista…
Circular Max-Flow for Periodic Data via Reeb Graphs
Matteo Pegoraro, Lisbeth Fajstrup
We introduce a max-flow framework for data with periodic boundary conditions, motivated by the analysis of transport in atomistic materials. Starting from a space X equipped with a…
Combinatorial Conditions for Directed Collapsing
Robin Belton, Robyn Brooks, Stefania Ebli +4
The purpose of this article is to study directed collapsibility of directed Euclidean cubical complexes. One application of this is in the nontrivial task of verifying the executio…
Towards Directed Collapsibility
Robin Belton, Robyn Brooks, Stefania Ebli +5
In the directed setting, the spaces of directed paths between fixed initial and terminal points are the defining feature for distinguishing different directed spaces. The simplest…