13 citations · 22 across the 10 of their papers we have counts for
10 papers · 1 filter
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…
Lifshitz tails for matrix-valued Anderson models
Hakim Boumaza, Hatem Najar
This paper is devoted to the study of Lifshitz tails for a continuous matrix-valued Anderson-type model acting on $L^2(\R^d)\otimes \C^{D}$, for arbitrary and $D\ge…
Localization for a matrix-valued Anderson model
Hakim Boumaza
We study localization properties for a class of one-dimensional, matrix-valued, continuous, random Schrödinger operators, acting on $L^2(\R)\otimes \C^N$, for arbitrary .…
A matrix-valued point interactions model
Hakim Boumaza
We study a matrix-valued Schrödinger operator with random point interactions. We prove the absence of absolutely continuous spectrum for this operator by proving that away from a d…
Positivity of Lyapunov exponents for a continuous matrix-valued Anderson model
H. Boumaza
We study a continuous matrix-valued Anderson-type model. Both leading Lyapunov exponents of this model are proved to be positive and distinct for all ernergies in exc…