Topology of random -dimensional cubical complexes

DOI10.1017/fms.2021.64zbMath1482.05310arXiv2001.07812OpenAlexW3214821607MaRDI QIDQ5018886

Érika Roldán, Elliot Paquette, Matthew Kahle

Publication date: 27 December 2021

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07812

zbMATH Keywords

random groupscubical complexesstochastic topology

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Probability in computer science (algorithm analysis, random structures, phase transitions, etc.) (68Q87) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Statistics on algebraic and topological structures (62R99)

Related Items (1)

Topology of random 2-dimensional cubical complexes – Erratum

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the phase transition in random simplicial complexes
• Topology of random 2-complexes
• Homological connectivity of random 2-complexes
• A note on the edges of the n-cube
• Evolution of the \(n\)-cube
• Neighborly cubical spheres and a cubical lower bound conjecture
• Integral homology of random simplicial complexes
• Collapsibility and vanishing of top homology in random simplicial complexes
• Limit theorems for random cubical homology
• Large random simplicial complexes, III the critical dimension
• The fundamental group of random 2-complexes
• Spectral Gaps of Random Graphs and Applications
• Homological connectivity of random k -dimensional complexes
• Freeness of the random fundamental group
• Tutte polynomials and random-cluster models in Bernoulli cell complexes
• Large random simplicial complexes, II; the fundamental group
• Large random simplicial complexes, I
• Cohen–Lenstra Heuristics for Torsion in Homology of Random Complexes

This page was built for publication: Topology of random -dimensional cubical complexes