13 citations · 22 across the 10 of their papers we have counts for
11 papers
Dynamical localization for random scattering zippers
Amine Khouildi, Hakim Boumaza
This article establishes a proof of dynamical localization for a random scattering zipper model. The scattering zipper operator is the product of two unitary by blocks operators, m…
Analytic expression of the DOS for a new model of 1d-potential and its random perturbation
Hakim Boumaza, Olivier Lafitte
In this article we present comparisons between the spectrum of a one-dimensional Schrödinger operator for a particular periodic potential and for its restriction to a finite number…
Localization for quasi-one-dimensional Dirac operators
Hakim Boumaza, Sylvain Zalczer
We consider a random family of Dirac operators on parallel real lines, modelling for example a graphene nanoribbon. We establish a localization criterion involving properties o…
Localization for random quasi-one-dimensional models
Hakim Boumaza
In this paper we review results of Anderson localization for different random families of operators which enter in the framework of random quasi-one-dimensional models. We first re…
Multiple wells Airy-Schr{ö}dinger operator and integrated density of states of the periodic Airy-Schr{ö}dinger operator
H Boumaza, O Lafitte
We compute an explicit formula for the integrated density of states of the periodic Airy-Schr{ö}dinger operator on the real line. For this purpose, we study precisely the spectrum…
Absence of absolutely continuous spectrum for random scattering zippers
Hakim Boumaza, Laurent Marin
A scattering zipper is a system obtained by concatenation of scattering events with equal even number of incoming and out going channels. The associated scattering zipper operator…