Multi angle Correlation spectrum of Morse-Smale flows
Auteurs : Rivière, Gabriel (Auteur de la Conférence)
CIRM (Editeur )
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Résumé : I will explain how one can get a complete description of the correlation spectrum of a Morse-Smale flow in terms of the Lyapunov exponents and of the periods of the flow. I will also discuss the relation of these results with differential topology.Codes MSC :
This a joint work with Nguyen Viet Dang (Université Lyon 1).
Keywords : Morse-Smale flows; transfer operators; Pollicott-Ruelle resonances; Morse inequalities; Reidemeister torsion
37D15 - Morse-Smale systems
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
58J51 - Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity