13 citations · 29 across the 17 of their papers we have counts for
4 papers · 1 filter
Scaling limits of Cayley graphs with polynomially growing balls
Romain Tessera, Matthew Tointon
Benjamini, Finucane and the first author have shown that if (G_n,S_n) is a sequence of Cayley graphs such that |S_n^n|=O(n^D|S_n|), then the sequence (G_n,d_{S_n}/n) is relatively…
The Mahler conjecture in two dimensions via the probabilistic method
Matthew Tointon
The "Mahler volume" is, intuitively speaking, a measure of how "round" a centrally symmetric convex body is. In one direction this intuition is given weight by a result of Santalo,…
Commuting probabilities of infinite groups
Matthew Tointon
Let G be a group, and let M=(m_n) be a sequence of finitely supported probability measures on G. Consider the probability that two elements chosen independently according to m_n co…
The asymptotic dimension of box spaces of virtually nilpotent groups
Thiebout Delabie, Matthew Tointon
We show that every box space of a virtually nilpotent group has asymptotic dimension equal to the Hirsch length of that group.