Distance functions, critical points, and the topology of random Čech complexes

DOI10.4310/HHA.2014.v16.n2.a18zbMath1323.60026arXiv1107.4775MaRDI QIDQ2263824

Omer Bobrowski, Robert J. Adler

Publication date: 19 March 2015

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4775

zbMATH Keywords

critical pointsMorse indexcentral limit theoremPoisson processdistance functionBetti numbersČech complex

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Simplicial sets and complexes in algebraic topology (55U10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Critical points of functions and mappings on manifolds (58K05)

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