172 citations · 377 across the 33 of their papers we have counts for
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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.CO2013★ 7 cited
Inside the critical window for cohomology of random k-complexes
Matthew Kahle, Boris Pittel
We prove sharper versions of theorems of Linial-Meshulam and Meshulam-Wallach which describe the behavior for (Z/2)-cohomology of a random k-dimensional simplicial complex within a…
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…