The Aubry-André-Harper model provides a paradigmatic example of aperiodic order in a
one-dimensional lattice displaying a delocalization-localization phase transition at a finite …

We investigate the spectral and dynamical localization of a quantum system of n particles on
ℝd which are subject to a random potential and interact through a pair potential which may …

In order to study continuous models of disordered topological phases, we construct an
unbounded Kasparov module and a semifinite spectral triple for the crossed product of a …

We consider a macroscopic disordered system of free d-dimensional lattice fermions whose
one-body Hamiltonian is a Schrödinger operator H with ergodic potential. We assume that …

We study the spectrum and dynamics of a one-dimensional discrete Dirac operator in a
random potential obtained by damping an iid environment with an envelope of type n− α for …

Szegő's theorem on the asymptotic behaviour of the determinants of large Toeplitz matrices
is generalized to the class of ergodic operators. The generalization is formulated in terms of …

Dynamical Localization for the One-Dimensional Continuum Anderson Model in a Decaying
Random Potential | Annales Henri Poincaré Skip to main content SpringerLink Account …

We consider a one-dimensional Anderson model where the potential decays in average like
n− α, α> 0. This simple model is known to display a rich phase diagram with different kinds of …

The Anderson model serves to study the absence of wave propagation in a medium in the
presence of impurities, and is one of the most studied examples in the theory of quantum …

[en] In this thesis, the interplay between topology, disorder, and dissipation is investigated
both theoretically and experimentally. Embedded into the field of non-Hermitian physics, one …