5 papers
FBI Transform in Gevrey Classes and Anosov Flows
Yannick Guedes Bonthonneau, Malo Jézéquel
An analytic FBI transform is built on compact manifolds without boundary, that satisfies all the expected properties. It enables the study of microlocal analytic and Gevrey regular…
Transfer operator for ultradifferentiable expanding maps of the circle
Malo Jézéquel
Given a expanding map of the circle, we construct a Hilbert space of smooth functions on which the transfer operator associated…
Global trace formula for ultra-differentiable Anosov flows
Malo Jézéquel
Adapting tools that we introduced in [19] to study Anosov flows, we prove that the trace formula conjectured by Dyatlov and Zworski in [12] holds for Anosov flows in a certain clas…
Local and global trace formulae for smooth hyperbolic diffeomorphisms
Malo Jézéquel
We define and study local and global trace formulae for discrete-time uniformly hyperbolic weighted dynamics. We explain first why dynamical determinants are particularly convenien…
Parameter regularity of dynamical determinants of expanding maps of the circle and an application to linear response
Malo Jézéquel
In order to adapt to the differentiable setting a formula for linear response proved by Pollicott and Vytnova in the analytic setting, we show a result of regularity of dynamical d…