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deformed wigner matrices 1eigenstate thermalisation hypothesis 1eigenvector localization 1mobility edge 1random matrix theory 1

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20242026
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math.DG2025

Spectral rigidity of two-dimensional Liouville tori

Joscha Henheik, Vadim Kaloshin, Yunzhe Li +1

It is a folklore conjecture that Liouville metrics are the only Riemannian metrics with integrable geodesic flow on the two-dimensional torus. In this paper, we study Laplace-isosp…