Michael Magee

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20112026

most citedA random cover of a compact hyperbolic surface has relative spectral gap

\frac{3}{16} - ε

24 citations · 143 across the 23 of their papers we have counts for

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math.SP2020★ 24 cited

A random cover of a compact hyperbolic surface has relative spectral gap $\frac{3}{16} - ε$

Michael Magee, Frédéric Naud, Doron Puder

Let $X$ 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}…

math.GR2020★ 14 cited

The Asymptotic Statistics of Random Covering Surfaces

Michael Magee, Doron Puder

Let $Γ_{g}$ be the fundamental group of a closed connected orientable surface of genus $g \geq 2$ . We develop a new method for integrating over the representation space $\mathbb{X}_{…

A random cover of a compact hyperbolic surface has relative spectral gap 163​−ε

The Asymptotic Statistics of Random Covering Surfaces

A random cover of a compact hyperbolic surface has relative spectral gap $\frac{3}{16} - ε$