Gunnar Carlsson, Vin de Silva, and Dmitriy Morozov. Zigzag Persistent Homology and Real-valued Functions.
David Cohen-Steiner, Herbert Edelsbrunner, and Dmitriy Morozov. Vines and Vineyards by Updating Persistence in Linear Time.
Vin de Silva, Mikael Vejdemo Johansson. Persistent Cohomology and Circular Coordinates.
Herbert Edelsbrunner, David Letscher, and Afra Zomorodian. Topological Persistence and Simplification.
Afra Zomorodian and Gunnar Carlsson. Computing Persistent Homology.