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Entropy 2014, 16(5), 2699-2712; doi:10.3390/e16052699

Action-Amplitude Approach to Controlled Entropic Self-Organization

Command and Control, Joint & Operations Analysis Division, Defence Science & TechnologyOrganisation, Adelaide SA 5111, Australia
Author to whom correspondence should be addressed.
Received: 25 January 2014 / Accepted: 12 May 2014 / Published: 14 May 2014
(This article belongs to the Special Issue Entropy Methods in Guided Self-Organization)
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Motivated by the notion of perceptual error, as a core concept of the perceptual control theory, we propose an action-amplitude model for controlled entropic self-organization (CESO). We present several aspects of this development that illustrate its explanatory power: (i) a physical view of partition functions and path integrals, as well as entropy and phase transitions; (ii) a global view of functional compositions and commutative diagrams; (iii) a local geometric view of the Kähler–Ricci flow and time-evolution of entropic action; and (iv) a computational view using various path-integral approximations. View Full-Text
Keywords: controlled self-organization; entropy; path integrals; Kähler–Ricci flow; Fokker–Planck equation; computer simulation controlled self-organization; entropy; path integrals; Kähler–Ricci flow; Fokker–Planck equation; computer simulation

This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Ivancevic, V.; Reid, D.; Scholz, J. Action-Amplitude Approach to Controlled Entropic Self-Organization. Entropy 2014, 16, 2699-2712.

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