7 papers
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…
On the spectral properties of non-selfadjoint discrete Schrödinger operators
Olivier Bourget, Diomba Sambou, Amal Taarabt
Let be a purely absolutely continuous selfadjoint operator acting on some separable infinite-dimensional Hilbert space and be a compact non-selfadjoint perturbation. We r…
Resonances on regular tree graphs
Olivier Bourget, Diomba Sambou, Amal Taarabt
We investigate the distribution of the resonances near spectral thresholds of Laplace operators on regular tree graphs with -fold branching, , perturbed by nonself-adj…