Journal
ADVANCES IN COMPLEX SYSTEMS
Volume 17, Issue 2, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219525914500076
Keywords
Lumpability; aggregated Markov chains; aggregation of variables; aggregated linear dynamics; state space reduction; coarse graining
Funding
- European Research Council under the European Union [267087, 318723]
- Klaus Tschira Stiftung
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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.
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