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Article

Entropic Approach to the Detection of Crucial Events

1
Center for Nonlinear Science, University of North Texas, P.O. Box 311427, Denton, TX 76203-1427, USA
2
Department of Physics, Duke University, Durham, NC 27709, USA
3
Information Science Directorate, US Army Research Office, Research Triangle Park, Durham, NC 27708, USA
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(2), 178; https://doi.org/10.3390/e21020178
Received: 22 December 2018 / Revised: 29 January 2019 / Accepted: 12 February 2019 / Published: 14 February 2019
(This article belongs to the Special Issue Information Dynamics in Brain and Physiological Networks)
In this paper, we establish a clear distinction between two processes yielding anomalous diffusion and 1 / f noise. The first process is called Stationary Fractional Brownian Motion (SFBM) and is characterized by the use of stationary correlation functions. The second process rests on the action of crucial events generating ergodicity breakdown and aging effects. We refer to the latter as Aging Fractional Brownian Motion (AFBM). To settle the confusion between these different forms of Fractional Brownian Motion (FBM) we use an entropic approach properly updated to incorporate the recent advances of biology and psychology sciences on cognition. We show that although the joint action of crucial and non-crucial events may have the effect of making the crucial events virtually invisible, the entropic approach allows us to detect their action. The results of this paper lead us to the conclusion that the communication between the heart and the brain is accomplished by AFBM processes. View Full-Text
Keywords: crucial events; renewal processes; ergodicity breakdown; stationary correlation function; renewal aging; heart-brain communication crucial events; renewal processes; ergodicity breakdown; stationary correlation function; renewal aging; heart-brain communication
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MDPI and ACS Style

Culbreth, G.; West, B.J.; Grigolini, P. Entropic Approach to the Detection of Crucial Events. Entropy 2019, 21, 178. https://doi.org/10.3390/e21020178

AMA Style

Culbreth G, West BJ, Grigolini P. Entropic Approach to the Detection of Crucial Events. Entropy. 2019; 21(2):178. https://doi.org/10.3390/e21020178

Chicago/Turabian Style

Culbreth, Garland, Bruce J. West, and Paolo Grigolini. 2019. "Entropic Approach to the Detection of Crucial Events" Entropy 21, no. 2: 178. https://doi.org/10.3390/e21020178

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