We investigate the propagation of waves in one-dimensional systems with Lévy-type
disorder. We perform a complete analysis of nonrelativistic and relativistic wave …

We investigate the propagation of electronic waves described by the Dirac equation subject
to a Lévy-type disorder distribution. Our numerical calculations, based on the transfer matrix …

Conductance is a vital ingredient for understanding electronic transport in disordered
systems. In this paper, we report numerical computations of the logarithmic conductance …

We perform a detailed numerical study of the influence of distributions without a finite
second moment on the Lyapunov exponent through the one-dimensional tight-binding …

Products of random matrix products of $\mathrm {SL}(2,\mathbb {R}) $, corresponding to
transfer matrices for the one-dimensional Schr\" odinger equation with a random potential …

We consider the one-dimensional Schrödinger equation with a random potential and study
the cumulant generating function of the logarithm of the wave function ψ (x), known in the …

We perform a detailed numerical study of the localization properties of the eigenfunctions of
one-dimensional (1D) tight-binding wires with on-site disorder characterized by long-tailed …

The behavior of the Lyapunov exponent under a small asymmetric disorder distribution is
investigated for the one-dimensional Anderson model in the vicinity of the band center and …

This thesis presents a study of condensed matter systems at different length scales. The first
part presents a study of elastic instabilities in biological systems ranging from the cerebral …