8 citations · 45 across the 21 of their papers we have counts for
4 papers · 1 filter
Radial source estimates in Hölder-Zygmund spaces for hyperbolic dynamics
Yannick Guedes Bonthonneau, Thibault Lefeuvre
We prove a radial source estimate in Hölder-Zygmund spaces for uniformly hyperbolic dynamics (also known as Anosov flows), in the spirit of Dyatlov-Zworski. The main consequence is…
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…
Exponential localization in 2D pure magnetic wells
Yannick Guedes Bonthonneau, Nicolas Raymond, San Vũ Ngoc
We establish a magnetic Agmon estimate in the case of a purely magnetic single non-degenerate well, by means of the Fourier-Bros-Iagolnitzer transform and microlocal exponential es…
Quantum Ergodicity for Eisenstein functions
Yannick Bonthonneau, Steve Zelditch
A new proof is given of Quantum Ergodicity for Eisenstein Series for cusped hyperbolic surfaces. This result is also extended to higher dimensional examples, with variable curvatur…