most citedThe limit points of the bass notes of arithmetic hyperbolic surfaces

2 citations · 2 across the 5 of their papers we have counts for

collaborators

6 papers

math.GT2025

Strong convergence of uniformly random permutation representations of surface groups

Michael Magee, Doron Puder, Ramon van Handel

Let be the fundamental group of a closed orientable surface of genus at least two. Consider the composition of a uniformly random element of with the $(n-…

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.PR2024

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 and then send this unitary into an…

math.SP2024

Spectral gap for random Schottky surfaces

Irving Calderón, Michael Magee, Frédéric Naud

We establish a spectral gap for resonances of the Laplacian of random Schottky surfaces, which is optimal according to a conjecture of Jakobson and Naud.

math.NT2024★ 2 cited

The limit points of the bass notes of arithmetic hyperbolic surfaces

Michael Magee

We prove that the limit points of the bass notes of arithmetic hyperbolic surfaces are the interval .

math.GR2024

is not purely matricial field

Michael Magee, Mikael de la Salle

We prove that every finite dimensional unitary representation of contains a non-zero -invariant vector. As a consequence,…