Mathematisches Kolloquium - Quasicrystals and dynamical invariants | Prof. Maik Gröger, Universität Bremen
entropy. Moreover, using some basic physical observations, we will identify a class of dynamical systems which present itself as a very natural candidate for models of aperiodic order. For structural reasons [...] their internal structure exhibits long-range order. In particular, for quasicrystals this constitute a surprising observation since their internal order is inherently aperiodic, i.e., is intermediate between [...] dynamical invariants. Starting from symbolic configurations we will explain the basic concepts of a dynamical hull (shift space) and word complexity (topological entropy). Based on analogous considerations