vix.ing · top · new · best · stats · spec

Random simplicial complexes - around the phase transition

2016/09/04 by Linial, Nati, Peled, Yuval
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1609.00914

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) theory that occurs at p = \frac 1n . Our main objective is to provide a more streamlined and unified perspective of some of the papers in this area.

Related