8 citations · 45 across the 21 of their papers we have counts for
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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…
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…
Ruelle-Pollicott Resonances for Manifolds with Hyperbolic Cusps
Yannick Guedes Bonthonneau, Tobias Weich
We present new methods to construct a Ruelle-Pollicott spectrum for the geodesic flow on manifolds with strictly negative curvature and a finite number of hyperbolic cusps.
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…
Weyl laws for manifolds with hyperbolic cusps
Yannick Bonthonneau
We give Weyl-type estimates on the natural spectral counting function for manifolds with exact hyperbolic cusps. We treat three different cases: without assumption on the compact p…
Resonance-free regions for negatively curved manifolds with cusps
Yannick Bonthonneau
The Laplace-Beltrami operator on cusp manifolds has continuous spectrum. The resonances are complex numbers that replace the discrete spectrum of the compact case. They are the pol…
Long Time Quantum Evolution of Observables
Yannick Bonthonneau
We build a semi-classical quantization procedure for finite volume man- ifolds with hyperbolic cusps, adapted to a geometrical class of symbols. We prove an Egorov Lemma until Ehre…
A note on the resonance counting function for surfaces with cusps
Yannick Bonthonneau
We prove sharp upper bounds for the number of resonances in boxes of size 1 at high frequency for the Laplacian on finite volume surfaces with hyperbolic cusps. As a corollary, we…