We comment on some recent investigations on the electronic properties of models
associated with the Thue-Morse chain, point out that their conclusions contradict rigorously …

In the following pages we discuss infinite sequences defined on a finite alphabet, and more
specially those which are generated by finite automata. We have divided our paper into …

We propose an effective exponent ruling the algebraic decay of the average quantum return
probability for discrete Schrödinger operators. We compute it for some non-periodic …

We discuss circle map sequences and subshifts generated by them. We give a
characterization of those sequences among them which are linearly recurrent. As an …

A nonprimitive substitution rule is provided for which the corresponding discrete one-
dimensional Schrödinger operator has generically (in the hull of the potential) pure singular …

Abstract One-dimensional (1D) systems with deterministic disorder, such as those with
quasiperiodic or substitutional sequence potential distributions, have been extensively …

Schr\" odinger operators with potentials generated by primitive substitutions are simple
models for one dimensional quasi-crystals. We review recent results on their spectral …