We quantify the coupling asymptotics for the Lyapunov exponent of a one-frequency quasi-periodic Schrödinger operator with analytic potential sampling function. The result refines the well-known lower bound of the Lyapunov exponent by Sorets and Spencer
In this paper, we establish the Anderson localization, strong dynamical localization and the $(\frac...
We prove that the exponential decay rate in expectation is well defined and is equal to the Lyapunov...
Spectral shift function of the Schrodinger operator in the large coupling constant limit, II. Positi...
We quantify the coupling asymptotics for the Lyapunov exponent of a one-frequency quasi-periodic Sch...
Studies the Lyapunov exponent gamma lambda (E) of (hu)(n)=u(n+1)+u(n-1)+ lambda V(n)u(n) in the limi...
In this thesis we are interested in the Lyapunov exponent of ergodic Schrödinger cocycles. These coc...
L'objectif de cette thèse est de traiter de deux aspects différents de la théorie de l'exposant de L...
We consider quasiperiodic Jacobi and Schr\"odinger operators of both a single- and multi-frequency. ...
In this short note, we describe some recent results on the pointwise existence of the Lyapunov expon...
In this article we consider asymptotics for the spectral function of Schr¨odinger operators on the r...
We show that a one-frequency analytic SL(2,R) cocycle with Diophantine rotation vector is analytical...
AbstractFollowing the Killip–Kiselev–Last method, we prove quantum dynamical upper bounds for discre...
Abstract. Consider a quasi-periodic Schrödinger operator Hα,θ with analytic po-tential and irration...
International audienceOriginally motivated by a stability problem in Fluid Mechanics, we study the s...
We consider a multi-dimensional continuum Schrödinger operator H, which is given by a perturbation o...
In this paper, we establish the Anderson localization, strong dynamical localization and the $(\frac...
We prove that the exponential decay rate in expectation is well defined and is equal to the Lyapunov...
Spectral shift function of the Schrodinger operator in the large coupling constant limit, II. Positi...
We quantify the coupling asymptotics for the Lyapunov exponent of a one-frequency quasi-periodic Sch...
Studies the Lyapunov exponent gamma lambda (E) of (hu)(n)=u(n+1)+u(n-1)+ lambda V(n)u(n) in the limi...
In this thesis we are interested in the Lyapunov exponent of ergodic Schrödinger cocycles. These coc...
L'objectif de cette thèse est de traiter de deux aspects différents de la théorie de l'exposant de L...
We consider quasiperiodic Jacobi and Schr\"odinger operators of both a single- and multi-frequency. ...
In this short note, we describe some recent results on the pointwise existence of the Lyapunov expon...
In this article we consider asymptotics for the spectral function of Schr¨odinger operators on the r...
We show that a one-frequency analytic SL(2,R) cocycle with Diophantine rotation vector is analytical...
AbstractFollowing the Killip–Kiselev–Last method, we prove quantum dynamical upper bounds for discre...
Abstract. Consider a quasi-periodic Schrödinger operator Hα,θ with analytic po-tential and irration...
International audienceOriginally motivated by a stability problem in Fluid Mechanics, we study the s...
We consider a multi-dimensional continuum Schrödinger operator H, which is given by a perturbation o...
In this paper, we establish the Anderson localization, strong dynamical localization and the $(\frac...
We prove that the exponential decay rate in expectation is well defined and is equal to the Lyapunov...
Spectral shift function of the Schrodinger operator in the large coupling constant limit, II. Positi...