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This normalized score quantifies the departure from ergodic behavior, where E=0 corresponds to perfect ergodicity. Here, the descriptor field may be viewed as defining level surfaces in state space, where states with the same descriptor value belong to the same surface. In this interpretation, E provides a measure of whether trajectories sample these descriptor-defined surfaces in a statistically equivalent manner over chosen observation windows, providing an ergodic-theoretic interpretation for general systems.","type":"other"},{"key":"2ksr-fljjCc41R1","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112081002735","type":"journal-article"},{"key":"2ksr-fljjCc42R1","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-1573(00)00054-5","type":"journal-article"},{"key":"2ksr-fljjCc43R1","volume-title":"Dynamics of Curved Fronts: Interfaces in Physics, Chemistry and Biology","author":"P. 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