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nlin.CD2006
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…
nlin.CD2006
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…
nlin.CD2006
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…