Thresholds for vanishing of `isolated' faces in random Čech and Vietoris-Rips complexes
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Publication:2227469
DOI10.1214/19-AIHP1020zbMath1469.60057arXiv1802.08224OpenAlexW3037960583MaRDI QIDQ2227469
Srikanth K. Iyer, Dhandapani Yogeshwaran
Publication date: 15 February 2021
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.08224
phase transitionconnectivitymaximal facesrandom hypergraphsPoisson convergencerandom geometric complexes
Geometric probability and stochastic geometry (60D05) Random graphs (graph-theoretic aspects) (05C80) Probability theory on algebraic and topological structures (60B99) Combinatorial aspects of simplicial complexes (05E45)
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Homological connectivity in random Čech complexes ⋮ On the contractibility of random Vietoris-Rips complexes ⋮ Phase transitions and noise sensitivity on the Poisson space via stopping sets and decision trees ⋮ Poisson process approximation under stabilization and Palm coupling
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