On persistent homology of random \v{C}ech complexes

zbMath1454.60025arXiv1902.08063MaRDI QIDQ5146758

Trinh Khanh Duy

Publication date: 1 February 2021

Full work available at URL: https://arxiv.org/abs/1902.08063

zbMATH Keywords

Čech complexpersistence diagramcritical simplexbinomial point processgeneralized discrete Morse theory

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Persistent homology and applications, topological data analysis (55N31) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Discrete Morse theory and related ideas in manifold topology (57Q70)

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Convergence of persistence diagram in the sparse regime

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