permutation entropy http://popups.lib.uliege.be/1373-5411/index.php?id=3960 Index terms fr 0 Permutation Excess Entropy and Mutual Information between the Past and Future http://popups.lib.uliege.be/1373-5411/index.php?id=3959 We address the excess entropy, which is a measure of complexity for stationary time series, from the ordinal point of view. We show that the permutation excess entropy is equal to the mutual information between two adjacent semi-infinite blocks in the space of orderings for finite-state stationary ergodic Markov processes. This result may spread a new light on the relationship between complexity and anticipation. Tue, 01 Oct 2024 16:48:42 +0200 Tue, 01 Oct 2024 16:50:15 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3959