11 citations · 18 across the 3 of their papers we have counts for
3 papers
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.CO2010
Coboundary expanders
Dominic Dotterrer, Matthew Kahle
We describe a natural topological generalization of edge expansion for graphs to regular CW complexes and prove that this property holds with high probability for certain random co…
math.GR2010★ 11 cited
The fundamental group of random 2-complexes
Eric Babson, Christopher Hoffman, Matthew Kahle
We study Linial-Meshulam random 2-complexes, which are two-dimensional analogues of Erdős-Rényi random graphs. We find the threshold for simple connectivity to be p = n^{-1/2}. Thi…