4 papers
Persistent Combinatorial Model of the Restricted Second Configuration Space of Metric Star Graphs
Wenwen Li, Murad Ozaydin
In this work, we present explicit constructions and computations of representative cycles for a nontrivial 2-parameter persistence module arising from the configuration space of me…
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…
Notes on Pointwise Finite-Dimensional -Parameter Persistence Modules
Wenwen Li, Murad Ozaydin
In this paper, we study pointwise finite-dimensional (p.f.d.) -parameter persistence modules where each module admits a finite convex isotopy subdivision. We show that a p.f.d.…
Persistent Homology of Configuration Spaces of Trees
Wenwen Li
Multiparameter persistence modules come up naturally in topological data analysis and topological robotics. Given a metric graph , the second configuration space of …