Mathematical aspects of aperiodic solids

Abstract

The ultimate goal of the program is to develop a mathematical theory liable to describe the physical properties of all aperiodic solids and perhaps liquids as well. Are involved the electronic properties, the electronic transport, the diffraction and propagation of various waves degrees of freedom (phonons, spinon), the description of the structure of the solid, of the atomic movement, the passage from a microscopic to a macroscopic description of mechanical properties (elasticity, plasticity, fractures, viscosity for liquids).