Add to ORKGAbstract. Using relative oscillation theory and the reducibility result of Elias-son, we study perturbations of quasiperiodic Schrödinger operators. In par-ticular, we derive relative oscillation criteria and eigenvalue asymptotics for critical potentials. 1
International audienceWe prove that a linear d-dimensional Schrödinger equation with an x-periodic a...
We eliminate by KAM methods the time dependence in a class of linear differential equations in ℓ2 su...
ABSTRACT. We prove estimates on the Hölder exponent of the density of states measure for discrete S...
AbstractUsing relative oscillation theory and the reducibility result of Eliasson, we study perturba...
We consider discrete quasiperiodic Schrödinger operators with analytic samplingfunctions. The thesis...
We study the Schrödinger operator $H_{\alpha}=-\frac{\der^2}{\der x^2}+V(x)+W(x^{\alpha})$ in $L_2(\...
AbstractUnder minimal hypotheses, sufficient criteria for a perturbed Dirac system to be relatively ...
Under minimal hypotheses, sufficient criteria for a perturbed Dirac system to be relatively oscillat...
Abstract. Quasiperiodic Jacobi operators arise as mathematical mod-els of quasicrystals and in more ...
We prove that a linear d-dimensional Schrödinger equation on $\mathbb{R}^d$ with harmonic potential...
In the semi-classical regime (i.e., h ↘ 0), we study the effect of an oscillating decaying pot...
The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, d...
We survey the theory of quasi-periodic Schrödinger-type operators, focusing on the advances made sin...
In this paper, we consider the Schrödinger operators dened by the dierential expression Lu = −u+ q(...
Abstract. We present a streamlined approach to relative oscillation criteria based on effective Prü...
International audienceWe prove that a linear d-dimensional Schrödinger equation with an x-periodic a...
We eliminate by KAM methods the time dependence in a class of linear differential equations in ℓ2 su...
ABSTRACT. We prove estimates on the Hölder exponent of the density of states measure for discrete S...
AbstractUsing relative oscillation theory and the reducibility result of Eliasson, we study perturba...
We consider discrete quasiperiodic Schrödinger operators with analytic samplingfunctions. The thesis...
We study the Schrödinger operator $H_{\alpha}=-\frac{\der^2}{\der x^2}+V(x)+W(x^{\alpha})$ in $L_2(\...
AbstractUnder minimal hypotheses, sufficient criteria for a perturbed Dirac system to be relatively ...
Under minimal hypotheses, sufficient criteria for a perturbed Dirac system to be relatively oscillat...
Abstract. Quasiperiodic Jacobi operators arise as mathematical mod-els of quasicrystals and in more ...
We prove that a linear d-dimensional Schrödinger equation on $\mathbb{R}^d$ with harmonic potential...
In the semi-classical regime (i.e., h ↘ 0), we study the effect of an oscillating decaying pot...
The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, d...
We survey the theory of quasi-periodic Schrödinger-type operators, focusing on the advances made sin...
In this paper, we consider the Schrödinger operators dened by the dierential expression Lu = −u+ q(...
Abstract. We present a streamlined approach to relative oscillation criteria based on effective Prü...
International audienceWe prove that a linear d-dimensional Schrödinger equation with an x-periodic a...
We eliminate by KAM methods the time dependence in a class of linear differential equations in ℓ2 su...
ABSTRACT. We prove estimates on the Hölder exponent of the density of states measure for discrete S...