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Gaussian Network’s Dynamics Reflected into Geometric Entropy

School of Science and Technology, University of Camerino, I-62032 Camerino, Italy
INFN-Sezione di Perugia, Via A. Pascoli, I-06123 Perugia, Italy
Author to whom correspondence should be addressed.
Academic Editor: Carlo Cafaro
Entropy 2015, 17(8), 5660-5672;
Received: 5 May 2015 / Revised: 15 July 2015 / Accepted: 31 July 2015 / Published: 6 August 2015
(This article belongs to the Special Issue Dynamical Equations and Causal Structures from Observations)
PDF [3901 KB, uploaded 6 August 2015]


We consider a geometric entropy as a measure of complexity for Gaussian networks, namely networks having Gaussian random variables sitting on vertices and their correlations as weighted links. We then show how the network dynamics described by the well-known Ornstein–Uhlenbeck process reflects into such a measure. We unveil a crossing of the entropy time behaviors between switching on and off links. Moreover, depending on the number of links switched on or off, the entropy time behavior can be non-monotonic. View Full-Text
Keywords: probability theory; Riemannian geometries; entropy; complex systems probability theory; Riemannian geometries; entropy; complex systems

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Felice, D.; Mancini, S. Gaussian Network’s Dynamics Reflected into Geometric Entropy. Entropy 2015, 17, 5660-5672.

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