45 citations · 134 across the 21 of their papers we have counts for
4 papers · 2 filters
On non-selfadjoint operators with finite discrete spectrum
Olivier Bourget, Diomba Sambou, Amal Taarabt
We consider some compact non-selfadjoint perturbations of fibered one-dimensional discrete Schrödinger operators. We show that the perturbed operator exhibits finite discrete spect…
One-dimensional Discrete Anderson Model in a Decaying Random Potential: from a.c. Spectrum to Dynamical Localization
Olivier Bourget, Gregorio R. Moreno Flores, Amal Taarabt
We consider a one-dimensional Anderson model where the potential decays in average like , . This simple model is known to display a rich phase diagram with different k…
One-dimensional Discrete Dirac Operators in a Decaying Random Potential I: Spectrum and Dynamics
Olivier Bourget, Gregorio R. Moreno Flores, Amal Taarabt
We study the spectrum and dynamics of a one-dimensional discrete Dirac operator in a random potential obtained by damping an i.i.d. environment with an envelope of type fo…
Dynamical Localization for the One-dimensional Continuum Anderson Model in a Decaying Random Potential
Olivier Bourget, Gregorio R. Moreno Flores, Amal Taarabt
We consider a one-dimensional continuum Anderson model where the potential decays in average like , . We show dynamical localization for and provide co…