Homology of multi-parameter random simplicial complexes
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Publication:2421593
DOI10.1007/s00454-018-00056-9zbMath1414.05266OpenAlexW2941744767WikidataQ127963498 ScholiaQ127963498MaRDI QIDQ2421593
Publication date: 17 June 2019
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00454-018-00056-9
Probability measures on topological spaces (60B05) Random graphs (graph-theoretic aspects) (05C80) Combinatorial probability (60C05) Simplicial sets and complexes in algebraic topology (55U10) Combinatorial aspects of simplicial complexes (05E45)
Related Items (9)
Limit theory for U-statistics under geometric and topological constraints with rare events ⋮ Law of large numbers for Betti numbers of homogeneous and spatially independent random simplicial complexes ⋮ The homology of random simplicial complexes in the multi-parameter upper model ⋮ Large deviations for subcomplex counts and Betti numbers in multiparameter simplicial complexes ⋮ What Are Higher-Order Networks? ⋮ Asymptotics of integrals of Betti numbers for random simplicial complex processes ⋮ Limit theorems for topological invariants of the dynamic multi-parameter simplicial complex ⋮ Asymptotic behavior of lifetime sums for random simplicial complex processes ⋮ Convergence of persistence diagram in the sparse regime
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