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math.AT2012
Persistence stability for geometric complexes
Frederic Chazal, Vin de Silva, Steve Oudot
In this paper we study the properties of the homology of different geometric filtered complexes (such as Vietoris-Rips, Cech and witness complexes) built on top of precompact space…
math.AT2012★ 19 cited
The structure and stability of persistence modules
Frederic Chazal, Vin de Silva, Marc Glisse +1
We give a self-contained treatment of the theory of persistence modules indexed over the real line. We give new proofs of the standard results. Persistence diagrams are constructed…