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Limit theorem for persistence diagrams

Hold Date
2017-07-14 16:00〜2017-07-14 17:30
Seminar Room W1-D-725, West Zone 1, Ito campus, Kyushu University
Object person
Tomoyuki SHIRAI (IMI, Kyushu University)

Persistent homology appeared around 2000 as an algebraic method which measures topological features of objects or point cloud data. Recently, much attention has been paid to it in the context of Topological Data Analysis (TDA). Persistent homology describes, roughly speaking, the birth and death of topological feature (connected components, holes, voids, and so on) by using the so-called persistence diagrams. In this talk, we discuss a limit theorem for persistence diagrams for filtrations built over stationary point processes. (Joint work with T. K. Duy and Y. Hiraoka)