Complexity Measures from Interaction Structures
  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. 
Thomas Kahle, Eckehard Olbrich, Juergen Jost, Nihat Ay