91 citations · 371 across the 22 of their papers we have counts for
4 papers · 1 filter
Semi-classical approach for Anosov diffeomorphisms and Ruelle resonances
Frederic Faure, Nicolas Roy, Johannes Sjoestrand
In this paper, we show that some spectral properties of Anosov diffeomorphisms can be obtained by semi-classical analysis. In particular the Ruelle resonances which are eigenvalues…
Semi-classical formula beyond the Ehrenfest time in quantum chaos. (I) Trace formula
Frederic Faure
We consider a nonlinear area preserving Anosov map M on the torus phase space, which is the simplest example of a fully chaotic dynamics. We are interested in the quantum dynamics…
Prequantum chaos: Resonances of the prequantum cat map
Frederic Faure
Prequantum dynamics has been introduced in the 70' by Kostant-Souriau-Kirillov as an intermediate between classical and quantum dynamics. In common with the classical dynamics, pre…
Ruelle-Pollicott resonances for real analytic hyperbolic map
Frederic Faure, Nicolas Roy
We study two simple real analytic uniformly hyperbolic dynamical systems: expanding maps on the circle S1 and hyperbolic maps on the torus T2. We show that the Ruelle-Pollicott res…