English

Random simplicial complexes - around the phase transition

Combinatorics 2016-09-06 v1

Abstract

This article surveys some of the work done in recent years on random simplicial complexes. We mostly consider higher-dimensional analogs of the well known phase transition in G(n,p)G(n, p) theory that occurs at p=1np = \frac 1n . Our main objective is to provide a more streamlined and unified perspective of some of the papers in this area.

Keywords

Cite

@article{arxiv.1609.00914,
  title  = {Random simplicial complexes - around the phase transition},
  author = {Nati Linial and Yuval Peled},
  journal= {arXiv preprint arXiv:1609.00914},
  year   = {2016}
}
R2 v1 2026-06-22T15:39:28.995Z