COMPARISON BETWEEN DIFFERENT METHODS OF LEVEL IDENTIFICATION

Oliver Pfante (), Nils Bertschinger (), Eckehard Olbrich (), Nihat Ay () and Jürgen Jost ()
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Oliver Pfante: Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany
Nils Bertschinger: Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany
Eckehard Olbrich: Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany
Nihat Ay: Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany;
Jürgen Jost: Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany;

Advances in Complex Systems (ACS), 2014, vol. 17, issue 02, 1-21

Abstract: Levels of a complex system are characterized by the fact that they admit a closed functional description in terms of concepts and quantities intrinsic to that level. Several ideas have come up so far in order to make the notion of a closed description precise. In this paper, we present four of these approaches and investigate their mutual relationships. Our study is restricted to the case of discrete dynamical systems, where the different levels are linked by a coarse-graining of variables and states of the system.

Keywords: Lumpability; aggregated Markov chains; aggregation of variables; aggregated linear dynamics; state space reduction; coarse graining (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0219525914500076

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