Fréchet Means for Distributions of Persistence Diagrams

Probability measures on the space of persistence diagrams

(2011) Yuriy Mileyko et al.   INVERSE PROBLEMS

Lipschitz Functions Have L p -Stable Persistence

(2010) David Cohen-Steiner et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Ricci curvature for metric-measure spaces via optimal transport

(2009) John Lott et al.   ANNALS OF MATHEMATICS

A Sampling Theory for Compact Sets in Euclidean Space

(2009) Frédéric Chazal et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Finding the Homology of Submanifolds with High Confidence from Random Samples

(2008) Partha Niyogi et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Topology of random clique complexes

(2008) Matthew Kahle   DISCRETE MATHEMATICS