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Complexity Measures from Interaction Structures
Thomas Kahle, Eckehard Olbrich, Jürgen Jost and Nihat Ay
We evaluate new complexity measures on the symbolic dynamics of coupled tent maps and cellular automata. These measures quantify complexity in terms of $k$-th order statistical dependencies that cannot be reduced to interactions between $k-1$ units. We demonstrate that these measures are able to identify complex dynamical regimes.