4 citations · 4 across the 1 of their papers we have counts for
6 papers
Extension of Alon's and Friedman's conjectures to Schottky surfaces
Michael Magee, Frédéric Naud
Let be a Schottky surface, that is, a conformally compact hyperbolic surface of infinite area. Let denote the Hausdorff dimension of the limit set of…
Automorphism-invariant positive definite functions on free groups
Benoît Collins, Michael Magee, Doron Puder
In this article we raise some new questions about positive definite functions on free groups, and explain how these are related to more well-known questions. The article is intende…
Explicit spectral gaps for random covers of Riemann surfaces
Michael Magee, Frédéric Naud
We introduce a permutation model for random degree covers of a non-elementary convex-cocompact hyperbolic surface . Let be the Hausdorff di…
Kesten-McKay law for the Markoff surface mod p
Matthew de Courcy-Ireland, Michael Magee
For each prime , we study the eigenvalues of a 3-regular graph on roughly vertices constructed from the Markoff surface. We show they asymptotically follow the Kesten-McKa…
Counting saddle connections in a homology class modulo
Michael Magee, Rene Rühr, Rodolfo Gutiérrez-Romo
We give effective estimates for the number of saddle connections on a translation surface that have length and are in a prescribed homology class modulo . Our estimates…
Matrix Group Integrals, Surfaces, and Mapping Class Groups I:
Michael Magee, Doron Puder
Since the 1970's, physicists and mathematicians who study random matrices in the GUE or GOE models are aware of intriguing connections between integrals of such random matrices and…