2 citations · 5 across the 3 of their papers we have counts for
4 papers
Property (T) in random quotients of hyperbolic groups at densities above 1/3
Calum J. Ashcroft
We study random quotients of a fixed non-elementary hyperbolic group in the Gromov density model. Let be a finite presentation of a non-elementary…
On the eigenvalues of Erdos-Renyi random bipartite graphs
Calum J. Ashcroft
We analyse the eigenvalues of Erdös--Rényi random bipartite graphs. In particular, we consider satisfying $n_{2}p=Ω(\sqrt{n_{2}p}\log^…
Link conditions for cubulation
Calum J. Ashcroft
We provide a condition on the links of polygonal complexes that is sufficient to ensure groups acting properly discontinuously and cocompactly on such complexes contain a virtually…
On random presentations with fixed relator length
C. J. Ashcroft, Colva M. Roney-Dougal
The standard model of random groups is a model where the relators are chosen randomly from the set of cyclically reduced words of length on an -element generatin…