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math.AT2013
The threshold for integer homology in random d-complexes
Christopher Hoffman, Matthew Kahle, Elliot Paquette
Let Y ~ Y_d(n,p) denote the Bernoulli random d-dimensional simplicial complex. We answer a question of Linial and Meshulam from 2003, showing that the threshold for vanishing of ho…
math.AT2013★ 4 cited
Topology of random simplicial complexes: a survey
Matthew Kahle
This expository article is based on a lecture from the Stanford Symposium on Algebraic Topology: Application and New Directions, held in honor of Gunnar Carlsson, Ralph Cohen, and…