One‐sided sharp thresholds for homology of random flag complexes

DOI10.1112/jlms.12872arXiv2108.04299OpenAlexW3192870528MaRDI QIDQ6121842

Andrew Newman

Publication date: 26 March 2024

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.04299

zbMATH Keywords

Kazhdan's propertyprobability of nonvanishing homology

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Random graphs (graph-theoretic aspects) (05C80) Combinatorial probability (60C05) Simplicial sets and complexes in algebraic topology (55U10) Eilenberg-Mac Lane spaces (55P20) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

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• Freeness of the random fundamental group
• Fundamental groups of clique complexes of random graphs
• Cohen–Lenstra Heuristics for Torsion in Homology of Random Complexes
• Law of large numbers for Betti numbers of homogeneous and spatially independent random simplicial complexes

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