Limit theorems for persistence diagrams

DOI10.1214/17-AAP1371zbMath1402.60059arXiv1612.08371OpenAlexW2563576120MaRDI QIDQ1617141

Tomoyuki Shirai, Yasuaki Hiraoka, Trinh Khanh Duy

Publication date: 7 November 2018

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

Full work available at URL: https://arxiv.org/abs/1612.08371

zbMATH Keywords

point processrandom topologypersistence diagrampersistent Betti number

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Convergence of probability measures (60B10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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