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math-ph2023★ 1 cited
Compactified Imaginary Liouville Theory
Colin Guillarmou, Antti Kupiainen, Rémi Rhodes
On a given Riemann surface, we construct a path integral based on the Liouville action functional with imaginary parameters. The construction relies on the compactified Gaussian Fr…
math.DG2023★ 3 cited
Marked length spectrum rigidity for Anosov surfaces
Colin Guillarmou, Thibault Lefeuvre, Gabriel P. Paternain
Let be a smooth closed oriented surface of genus . We prove that two metrics on with the same marked length spectrum and Anosov geodesic flow are isometric via an i…