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math.SP2020
Magnetic WKB constructions on surfaces
Yannick Guedes Bonthonneau, Tho Nguyen Duc, Nicolas Raymond +1
This article is devoted to the description of the eigenvalues and eigenfunctions of the magnetic Laplacian in the semiclassical limit via the complex WKB method. Under the assumpti…
math.SP2018
Flow-independent Anisotropic space, and perturbation of resonances
Yannick Guedes Bonthonneau
Given an Anosov vector field , all sufficiently close vector fields also are of Anosov type. In this note, we check that one can choose the so-called "Faure-Sjöstrand" anistro…
math.SP2017
WKB constructions in bidimensional magnetic wells
Yannick Bonthonneau, Nicolas Raymond
This article establishes, in an analytic framework and in two dimensions, the first WKB constructions describing the eigenfunctions of the pure magnetic Laplacian with low energy w…