Explicit spectral gaps for random covers of Riemann surfaces
(2020)
Journal Article
Magee, M., & Naud, F. (2020). Explicit spectral gaps for random covers of Riemann surfaces. Publications mathématiques de l'IHÉS, 132(1), 137-179. https://doi.org/10.1007/s10240-020-00118-w
We introduce a permutation model for random degree n covers Xn of a non-elementary convex-cocompact hyperbolic surface X = \H. Let δ be the Hausdorff dimension of the limit set of . We say that a resonance of Xn is new if it is not a resonance of X,... Read More about Explicit spectral gaps for random covers of Riemann surfaces.