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We study two models of Anderson-type random operators on two deterministically coupled continuous strings. Each model is associated with independent, identically distributed four-by-four symplecticâ€¦ (More)

- Hakim Boumaza
- 2009

We study localization properties for a class of one-dimensional, matrix-valued, continuous, random SchrÃ¶dinger operators, acting on L2(R) âŠ— C , for arbitrary N â‰¥ 1. We prove that, under suitableâ€¦ (More)

Abstract. We study a continuous matrix-valued Anderson-typemodel. Both leading Lyapunov exponents of this model are proved to be positive and distinct for all energies in (2,+âˆž) except those in aâ€¦ (More)

- Hakim Boumaza
- 2008

We study a class of continuous matrix-valued Anderson models acting on L2(Rd) âŠ— C . We prove the existence of their Integrated Density of States for any d â‰¥ 1 and N â‰¥ 1. Then for d = 1 and forâ€¦ (More)

- Hakim Boumaza, Olivier D. Lafitte
- 2015 Days on Diffraction (DD)
- 2015

In this paper, we are concerned with the study of the spectrum of a periodic potential in 1D, modelling the interactions of an electron with a regular lattice of ions. The classical Bloch theoryâ€¦ (More)

- Hakim Boumaza
- 2008

Abstract. We study a matrix-valued SchrÃ¶dinger operator with random point interactions. We prove the absence of absolutely continuous spectrum for this operator by proving that away from a discreteâ€¦ (More)

- Hakim Boumaza, Olivier D. Lafitte
- 2016 Days on Diffraction (DD)
- 2016

In this paper, we are concerned with the study of the spectrum of operators with periodic potentials in 1D and 2D, modelling the interactions of an electron with regular lattices of ions. Theâ€¦ (More)

- Hakim Boumaza, Kheira Belarbi
- 14th International Conference on Sciences andâ€¦
- 2013

In this work, we consider the approximation of the model predictive controllers using a fuzzy Takagi Sugeno system and invoking its universal approximating property. The first step of the procedureâ€¦ (More)

We present a result of localization for a matrix-valued AndersonBernoulli operator, acting on L2(R) âŠ— R , for an arbitrary N â‰¥ 1, whose interaction potential is generic in the real symmetricâ€¦ (More)

- Hakim Boumaza, Laurent Marin, Hakim Boumaza
- 2013

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 is the unitaryâ€¦ (More)