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math.AP2020
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…
math.AP2019
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…