One-dimensional (1D) systems with deterministic disorder, such as those with quasiperiodic or substitutional sequence potential distributions, have been extensively studied. It was recently shown that a generalization of quantum Turing machines (QTM`s), in which potentials are associated with elementary steps or transitions of the computation, generates potential distributions along computation paths of states in some basis B, which are computable and are thus periodic or have deterministic… Expand

This is a collection of references (papers, books, preprints, book reviews, Ph. D. thesis, patents, web sites, etc.), sorted alphabetically and (some of them) classified by subject, on foundations of… Expand

The Banach Algebra (T).- Spectral Theory of Unitary Operators.- Spectral Theory of Dynamical Systems.- Dynamical Systems Associated with Sequences.- Dynamical Systems Arising from Substitutions.-… Expand

Progress and current issues in quasicrystals, D.P. DiVincenzo and P.J. Steinhardt order and disorder in icosahedral alloys, P.A. Bancel neutron scattering approaches to quasicrystals, Ch. Janot and… Expand