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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
44/2008

Complexity Measures from Interaction Structures

Thomas Kahle, Eckehard Olbrich, Jürgen Jost and Nihat Ay

Abstract

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.

Received:
Jun 16, 2008
Published:
Jun 17, 2008
PACS:
89.70.Cf, 89.75.Fb, 89.75.Kd
Keywords:
complexity, cellular automata, coupled map lattices

Related publications

inJournal
2009 Repository Open Access
Thomas Kahle, Eckehard Olbrich, Jürgen Jost and Nihat Ay

Complexity measures from interaction structures

In: Physical review / E, 79 (2009) 2, pt. 2, p. 026201