84 citations · 605 across the 68 of their papers we have counts for
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math-ph2016
Polyakov's formulation of bosonic string theory
Colin Guillarmou, Rémi Rhodes, Vincent Vargas
Using probabilistic methods, we first define Liouville quantum field theory on Riemann surfaces of genus and show that it is a conformal field theory. We use the…
math.DS2016
Classical and quantum resonances for hyperbolic surfaces
Colin Guillarmou, Joachim Hilgert, Tobias Weich
For compact and for convex co-compact oriented hyperbolic surfaces, we prove an explicit correspondence between classical Ruelle resonant states and quantum resonant states, except…
math.DG2016★ 7 cited
Marked boundary rigidity for surfaces
Colin Guillarmou, Marco Mazzucchelli
We show that, on an oriented compact surface, two sufficiently -close Riemannian metrics with strictly convex boundary, no conjugate points, hyperbolic trapped set for their g…