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

Random filtered complexes built over marked point processes on Euclidean spaces are considered. Examples of these filtered complexes include a filtration of $\check{\text{C}}$ech complexes of a family of sets with various sizes, growths, and shapes. The law of large numbers for persistence diagrams...

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Bibliographic Details
Main Authors: Tomoyuki Shirai, Kiyotaka Suzaki
Format: Article
Language:English
Published: VTeX 2022-09-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://www.vmsta.org/doi/10.15559/22-VMSTA214