84 citations · 605 across the 68 of their papers we have counts for
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The Virasoro structure and the scattering matrix for Liouville conformal field theory
Guillaume Baverez, Colin Guillarmou, Antti Kupiainen +2
In this work, we construct a representation of the Virasoro algebra in the canonical Hilbert space associated to Liouville conformal field theory. The study of the Virasoro operato…
Local lens rigidity for manifolds of Anosov type
Mihajlo Cekić, Colin Guillarmou, Thibault Lefeuvre
The lens data of a Riemannian manifold with boundary is the collection of lengths of geodesics with endpoints on the boundary together with their incoming and outgoing vectors. We…
Scattering rigidity for analytic metrics
Yannick Guedes Bonthonneau, Colin Guillarmou, Malo Jézéquel
For analytic negatively curved Riemannian manifold with analytic strictly convex boundary, we show that the scattering map for the geodesic flow determines the manifold up to isome…