The Mathematics of Long-Range Aperiodic Order

Devoted entirely to the mathematics of long-range aperiodic order, this work presents survey and research articles on the major areas of mathematics and mathematical physics that are emerging in this new field, including tilings, discrete geometry, diffraction and harmonic analysis, self-similarity and symmetry, non-crystalllographic root systems, the cut and project method, number theoretical considerations, aperiodic Ising models and Schrodinger operators.