Abstract. 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 energies in (2, +âˆž) except those in aâ€¦ (More)

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)

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)

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)

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)

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)

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)

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)

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)