J. Souto

works on

hyperbolic geometry 1 isospectral surfaces 1 length spectrum 1 quasi-fuchsian groups 1 spectral geometry 1

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20242026

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math.DG2026

Can You Hear the Shape of a Hyperbolic Surface? Now for Real

Ludovico Battista, Juan Souto

We associate a musical instrument, a "hyperbolic marimba", to every pair $(X, I^)$ where $X$ is a hyperbolic surface and $I^ \subset X$ a simple multicurve labeled with musical keys.…