title: Complexity measures from interaction structures.
abstract: We evaluate information-theoretic quantities that quantify complexity in terms of kth-order statistical dependences that cannot be reduced to interactions among k-1 random variables. Using symbolic dynamics of coupled maps and cellular automata as model systems, we demonstrate that these measures are able to identify complex dynamical regimes.
authors.affiliation: Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, D-04103 Leipzig, Germany. kahle@mis.mpg.de
authors.forename: T
authors.initials: T
authors.lastname: Kahle
authors.forename: E
authors.initials: E
authors.lastname: Olbrich
authors.forename: J
authors.initials: J
authors.lastname: Jost
authors.forename: N
authors.initials: N
authors.lastname: Ay