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Properties of resonant states for generic smooth expanding maps
Malo Jézéquel
We prove that the resonances for a generic smooth expanding map are simple and that zero is a regular value for the associated resonant states. Moreover, the real-valued resonant s…
Bound on the number of Ruelle resonances for Gevrey hyperbolic flows
Malo Jézéquel
We improve the best known upper bounds on the number of Ruelle resonances in disks of large radius for Gevrey uniformly hyperbolic flows. The proof is based on Rugh's approach of d…
Zeta functions and the Fried conjecture for smooth pseudo-Anosov flows
Malo Jézéquel, Jonathan Zung
To a transitive pseudo-Anosov flow on a -manifold and a representation of , we associate a zeta function defined for , generalizing…
Distribution of Ruelle resonances for real-analytic Anosov diffeomorphisms
Malo Jézéquel
We prove an upper bound for the number of Ruelle resonances for Koopman operators associated to real-analytic Anosov diffeomorphisms: in dimension , the number of resonances lar…