We investigate the von Neumann entanglement entropy as function of the size of a subsystem for permutation invariant ground states in models with finite number of states per site, e.g., in quantum spin models. We demonstrate that the entanglement entropy of n sites in a system of length L generically grows as log2 2 en L−n /L +C, where is the on-site spin and C is a function depending only on m...

Permutation entropy measures the complexity of deterministic time series via a data symbolic quantization consisting rank vectors called ordinal patterns or just permutations. The reasons for increasing popularity this in analysis include that (i) it converges to Kolmogorov-Sinai underlying dynamics limit ever longer permutations, and (ii) its computation dispenses with generating ad hoc partit...