%0 Journal Article %A Amigó, José M. %A Dale, Roberto %A Tempesta, Piergiulio %T Permutation group entropy: a new route to complexity for real-valued processes %D 2022 %@ 1054-1500 %U https://hdl.handle.net/20.500.14352/72811 %X This is a review of group entropy and its application to permutation complexity. Specifically, we revisit a new approach to the notion of complexity in the time series analysis based on both permutation entropy and group entropy. As a result, the permutation entropy rate can be extended from deterministic dynamics to random processes. More generally, our approach provides a unified framework to discuss chaotic and random behaviors. %~