Large deviation principle for geometric and topological functionals and associated point processes

DOI10.1214/22-aap1914zbMath1530.60030arXiv2201.07276OpenAlexW4388289845MaRDI QIDQ6187485

Publication date: 15 January 2024

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

Full work available at URL: https://arxiv.org/abs/2201.07276

zbMATH Keywords

stochastic geometry point process large deviation principle persistent Betti number stochastic topology Morse critical point

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Large deviations (60F10) Simplicial sets and complexes in algebraic topology (55U10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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