Michael Magee

collaborators

3 papers

math.GT2025

Strong convergence of uniformly random permutation representations of surface groups

Michael Magee, Doron Puder, Ramon van Handel

Let $I^$ be the fundamental group of a closed orientable surface of genus at least two. Consider the composition of a uniformly random element of $Hom (I^, S_{n})$ with the $(…

math.GR2025

Strong convergence of unitary and permutation representations of discrete groups

Michael Magee

We survey a research program on the strong convergence of unitary and permutation representations of discrete groups. We also take the opportunity to flesh out details that have no…

math.PR2025

Strong asymptotic freeness of Haar unitaries in quasi-exponential dimensional representations

Michael Magee, Mikael de la Salle

We prove almost sure strong asymptotic freeness of i.i.d. random unitaries with the following law: sample a Haar unitary matrix of dimension $n$ and then send this unitary into an…