Convergence of persistence diagram in the sparse regime

Publication date: 20 December 2022

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.12943

zbMATH Keywords

persistent homology persistence diagram persistent Betti number stochastic topology

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Persistent homology and applications, topological data analysis (55N31) Strong limit theorems (60F15) Simplicial sets and complexes in algebraic topology (55U10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (2)

Limit theory for U-statistics under geometric and topological constraints with rare events ⋮ Large deviation principle for geometric and topological functionals and associated point processes

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