A limit theorem for persistence diagrams of random filtered complexes built over marked point processes

DOI10.15559/22-vmsta214arXiv2103.08868OpenAlexW4295345410MaRDI QIDQ6157626

Kiyotaka Suzaki, Tomoyuki Shirai

Publication date: 22 June 2023

Published in: Modern Stochastics. Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.08868

zbMATH Keywords

marked point processrandom topologypersistence diagrampersistent Betti number

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Convergence of probability measures (60B10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

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• An Introduction to the Theory of Point Processes
• Weighted persistent homology

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