5 papers
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…
Stationary internal waves in a two-dimensional aquarium at low viscosity
Malo Jézéquel, Jian Wang
We prove the uniform solvability of a stationary problem associated to internal waves equation with small viscosity in a two dimensional aquarium with real-analytic boundary, under…
Orr-Sommerfeld equation and complex deformation
Malo Jézéquel, Jian Wang
For shear flows in a 2D channel, we define resonances near regular values of the shear profile for the Rayleigh equation under an analyticity assumption. This is done via complex 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…