Permutation Complexity in Dynamical Systems : Ordinal Patterns Permutation Entropy and All That The study of permutation complexity can be envisioned as a new kind of symbolic dynamics whose basic blocks are ordinal patterns that is permutations defined by the order relations among points in the orbits of dynamical systems. Since its inception in 2002 the concept of permutation entropy has sparked a new branch of research in particular regarding the time series analysis of dynamical systems that capitalizes on the order structure of the state space. Indeed on one hand ordinal patterns and periodic points are closely related yet ordinal patterns are amenable to numerical methods whil