91 citations · 371 across the 22 of their papers we have counts for
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Micro-local analysis of contact Anosov flows and band structure of the Ruelle spectrum
Frédéric Faure, Masato Tsujii
We develop a geometrical micro-local analysis of contact Anosov flow, such as geodesic flow on negatively curved manifold. This micro-local analysis is based on wave-packet transfo…
Ruelle spectrum of linear pseudo-Anosov maps
Frédéric Faure, Sébastien Gouëzel, Erwan Lanneau
The Ruelle resonances of a dynamical system are spectral data describing the precise asymptotics of correlations. We classify them completely for a class of chaotic two-dimensional…
Fractal Weyl law for the Ruelle spectrum of Anosov flows
Frédéric Faure, Masato Tsujii
On a closed manifold , we consider a smooth vector field that generates an Anosov flow. Let be a smooth function called potential.…
Horocyclic invariance of Ruelle resonant states for contact Anosov flows in dimension 3
Frederic Faure, Colin Guillarmou
We show that for smooth contact Anosov flows in dimension 3, the resonant states associated to the first band of Ruelle resonances are distributions that are killed by the unstable…
Asymptotic spectral gap for open partially expanding maps
Frédéric Faure, Tobias Weich
We consider a -extension of one dimensional uniformly expanding open dynamical systems and prove a new explicit estimate for the asymptotic spectral gap. To get these r…
Power spectrum of the geodesic flow on hyperbolic manifolds
Semyon Dyatlov, Frédéric Faure, Colin Guillarmou
We describe the complex poles of the power spectrum of correlations for the geodesic flow on compact hyperbolic manifolds in terms of eigenvalues of the Laplacian acting on certain…