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Emergence as Mesoscopic Coherence
Italian Systems Society, Via Pellegrino Rossi 42 Milan, I-20161, Italy
School of Advanced International Studies on Theoretical and non Linear Methodologies of Physics, Bari I-70124, Italy
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Received: 2 August 2013; in revised form: 15 September 2013 / Accepted: 18 September 2013 / Published: 27 September 2013
Abstract: We propose here a formal approach to study collective behaviors intended as coherent sequences of spatial configurations, adopted by agents through various corresponding structures over time. Multiple, simultaneous structures over time and their sequences are called Meta-Structures and establish sequences of spatial configurations considered as emergent on the basis of coherent criteria chosen and detected by an observer. This coherence is represented by patterns of values of the proper mesoscopic variables adopted, i.e., meta-structural properties. We introduce a formal tool, i.e., the family of mesoscopic general vectors, defined by the observer, able to detect coherent behaviors like ergodic or quasi-ergodic ones. Such approach aims to provide a general framework to study intrinsically stochastic processes where the “universal evolution laws” fail. However, at the same, the system is structured enough to show significant clusters of collective behaviors “invisible to” simple statistics.
Keywords: clustering; collective beings; emergence; ideal and non-ideal models for complex systems; mesoscopic level of system description; quasi-ergodic behavior
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MDPI and ACS Style
Minati, G.; Licata, I. Emergence as Mesoscopic Coherence. Systems 2013, 1, 50-65.
Minati G, Licata I. Emergence as Mesoscopic Coherence. Systems. 2013; 1(4):50-65.
Minati, Gianfranco; Licata, Ignazio. 2013. "Emergence as Mesoscopic Coherence." Systems 1, no. 4: 50-65.