Introducing stability of persistence diagrams:
David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Stability of Persistence Diagrams, Discrete & Computational Geometry 37 (2007) 103–120 doi:10.1007/s00454-006-1276-5
Frédéric Chazal, David Cohen-Steiner, Marc Glisse, Leonidas J. Guibas, Steve Y. Oudot, Proximity of persistence modules and their diagrams, SCG ‘09: Proceedings of the twenty-fifth annual symposium on Computational geometry (2009) 237–246 doi:10.1145/1542362.1542407
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