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math.CO2016
Random simplicial complexes - around the phase transition
Nati Linial, Yuval Peled
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,…
math.CO2016
Integral homology of random simplicial complexes
Tomasz Łuczak, Yuval Peled
The random -dimensional simplicial complex process starts with a complete graph on vertices, and in every step a new -dimensional face, chosen uniformly at random, is add…