Large random simplicial complexes, I

DOI10.1142/S179352531650014XzbMath1339.05440arXiv1503.06285OpenAlexW1899982405MaRDI QIDQ5739420

A. E. Costa, Michael S. Farber

Publication date: 15 July 2016

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06285

zbMATH Keywords

random simplicial complexmulti-parameter random simplicial complexlarge random spacestopology of random complexes

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Connectivity (05C40) Combinatorial aspects of simplicial complexes (05E45)

Related Items (22)

Large random simplicial complexes, II; the fundamental group ⋮ Random recursive hypergraphs ⋮ Random monomial ideals ⋮ Topology and geometry of random 2-dimensional hypertrees ⋮ Random Simplicial Complexes: Models and Phenomena ⋮ Exponential random simplicial complexes ⋮ Random simplicial complexes, duality and the critical dimension ⋮ Homological connectivity in random Čech complexes ⋮ Maps on random hypergraphs and random simplicial complexes ⋮ Topological embeddings into random 2‐complexes ⋮ Law of large numbers for Betti numbers of homogeneous and spatially independent random simplicial complexes ⋮ Algebraic and combinatorial expansion in 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? ⋮ Random hypergraphs, random simplicial complexes and their Künneth-type formulae ⋮ Large random simplicial complexes, III the critical dimension ⋮ Random Simplicial Complexes ⋮ Limit theorems for random cubical homology ⋮ Limit theorems for topological invariants of the dynamic multi-parameter simplicial complex ⋮ Random simplicial complexes in the medial regime ⋮ Topology of random -dimensional cubical complexes

Cites Work

• Unnamed Item
• Topology of random 2-complexes
• Homological connectivity of random 2-complexes
• Finite covers of random 3-manifolds
• Geometry and topology of random 2-complexes
• Topology of random linkages
• Large random simplicial complexes, III the critical dimension
• The fundamental group of random 2-complexes
• Chessboard Complexes and Matching Complexes
• Topics of Stochastic Algebraic Topology
• Fundamental groups of clique complexes of random graphs

This page was built for publication: Large random simplicial complexes, I