24 citations · 143 across the 23 of their papers we have counts for
7 papers · 1 filter
Explicit spectral gap for Schottky subgroups of
Irving Calderón, Michael Magee
Let be a Schottky subgroup of . We establish a uniform and explicit lower bound of the second eigenvalue of the Laplace-Beltrami operator of congrue…
Quantum Unique Ergodicity for Cayley graphs of quasirandom groups
Michael Magee, Joe Thomas, Yufei Zhao
A finite group is called -quasirandom (by Gowers) if all non-trivial irreducible complex representations of have dimension at least . For any unit function…
Near optimal spectral gaps for hyperbolic surfaces
Will Hide, Michael Magee
We prove that if is a finite area non-compact hyperbolic surface, then for any , with probability tending to one as , a uniformly random degree Riemannian…
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…
A random cover of a compact hyperbolic surface has relative spectral gap
Michael Magee, Frédéric Naud, Doron Puder
Let be a compact connected hyperbolic surface, that is, a closed connected orientable smooth surface with a Riemannian metric of constant curvature -1. For each $n\in\mathbf{N}…
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…
Quantitative spectral gap for thin groups of hyperbolic isometries
Michael Magee
Let be a subgroup of an arithmetic lattice in SO(n+1,1). The quotient has a natural family of congruence covers corresponding to primes in some ring of i…