84 citations · 605 across the 68 of their papers we have counts for
4 papers · 1 filter
First band of Ruelle resonances for contact Anosov flows in dimension
Colin Guillarmou, Mihajlo Cekic
We show, using semiclassical measures and unstable derivatives, that a smooth vector field generating a contact Anosov flow on a -dimensional manifold has only…
Ruelle-Taylor resonances of Anosov actions
Yannick Guedes Bonthonneau, Colin Guillarmou, Joachim Hilgert +1
Combining microlocal methods and a cohomological theory developped by J. Taylor, we define for -Anosov actions a notion of joint Ruelle resonance spectrum. We prove t…
Conformal bootstrap in Liouville Theory
Colin Guillarmou, Antti Kupiainen, Rémi Rhodes +1
The conformal bootstrap hypothesis is a powerful idea in theoretical physics which has led to spectacular predictions in the context of critical phenomena. It postulates an explici…
Spectral theory of the frame flow on hyperbolic 3-manifolds (with an appendix by Charles Hadfield)
Colin Guillarmou, Charles Hadfield, Benjamin Küster
We study the spectral theory and the resolvent of the vector field generating the frame flow of closed hyperbolic 3-dimensional manifolds on some family of anisotropic Sobolev spac…