14 citations · 28 across the 12 of their papers we have counts for
13 papers
On the singularities of the spectral shift function for some tight-binding models
Marouane Assal, Olivier Bourget, Diomba Sambou +1
We consider perturbed discrete tight-binding models in describing union of quantum particles with localized interactions, where is…
On absolutely continuous spectrum for one-channel unitary operators
Olivier Bourget, Gregorio Moreno, Christian Sadel +1
In this paper, we develop the radial transfer matrix formalism for unitary one-channel operators. This generalizes previous formalisms for CMV matrices and scattering zippers. We e…
One-dimensional Discrete Dirac Operators in a Decaying Random Potential II: Clock, Schrödinger and Sine statistics
Gregorio R. Moreno Flores, Amal Taarabt
We consider one-dimensional discrete Dirac models in vanishing random environments. In a previous work [6], we showed that these models exhibit a rich phase diagram in terms of the…
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…
Eigenvalues behaviours for self-adjoint Pauli operators with unsigned perturbations and admissible magnetic fields
Diomba Sambou, Amal Taarabt
We investigate the behaviour of the eigenvalues of two-dimensional Pauli operators with nonconstant magnetic fields perturbed by a sign-indefinite decaying electric potential V. We…
Dynamical localization of Dirac particles in electromagnetic fields with dominating magnetic potentials
Jean-Marie Barbaroux, Josef Mehringer, Edgardo Stockmeyer +1
We consider two-dimensional massless Dirac operators in a radially symmetric electromagnetic field. In this case the fields may be described by one-dimensional electric and magneti…
Equality of bulk and edge Hall conductances for continuous magnetic random Schrödinger operators
Amal Taarabt
In this note, we prove the equality of the quantum bulk and the edge Hall conductances in mobility edges and in presence of disorder. The bulk and edge perturbations can be either…
Spectral properties of dynamical localization for Schrödinger operators
François Germinet, Amal Taarabt
We investigate the equivalence between dynamical localization and localization properties of eigenfunctions of Schrödinger Hamiltonians. We introduce three classes of equivalent pr…