On social sensitivity to either zealot or independent minorities

Mahmoodi, Korosh; Grigolini, Paolo; West, Bruce J.

doi:10.1016/j.chaos.2018.03.028

Cited by 11 publications

(11 citation statements)

References 15 publications

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“…We believe with the authors of the recent paper [57] that 1/ f noise is a manifestation of Self-Organized Temporal Criticality (SOTC) [58], a new form of self-organization generating crucial events and, consequently, the pink noise generated by an AFBM process. There is general agreement that the emergence of life is signaled by a departure from the ordinary scaling η = 0.5 [2].…”

Section: Discussionmentioning

confidence: 99%

Entropic Approach to the Detection of Crucial Events

Culbreth

West

Grigolini

2019

Entropy

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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.

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Section: Discussionmentioning

confidence: 99%

Entropic Approach to the Detection of Crucial Events

Culbreth

West

Grigolini

2019

Entropy

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“…As far as the resilience of the bottom-up SOTC is concerned, the theory of this paper rests on the connection between resilience and the efficiency of information transport. As a consequence the results on the resilience of the bottom-up SOTC for = 100 automatically correspond on the condition of maximal resilience [39].…”

Section: Complexitymentioning

confidence: 99%

Self‐Organized Temporal Criticality: Bottom‐Up Resilience versus Top‐Down Vulnerability

2018

Self Cite

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We propose a social model of spontaneous self-organization generating criticality and resilience, called Self-Organized Temporal Criticality (SOTC). The criticality-induced long-range correlation favors the societal benefit and can be interpreted as the social system becoming cognizant of the fact that altruism generates societal benefit. We show that when the spontaneous bottom-up emergence of altruism is replaced by a top-down process, mimicking the leadership of an elite, the crucial events favoring the system's resilience are turned into collapses, corresponding to the falls of the leading elites. We also show with numerical simulation that the top-down SOTC lacks the resilience of the bottom-up SOTC. We propose this theoretical model to contribute to the mathematical foundation of theoretical sociology illustrated in 1901 by Pareto to explain the rise and fall of elites.

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“…Using the concept of intermediate asymptotics [42], we evaluate the slope of S(l) in an intermediate region between the region of short values of l and the region of large values of l. The region of short values of l is a region of transition to complexity. The region of large values of l is either a region of transition to ordinary statistics [20][21][22] or a region where the scarcity of events makes the evaluation of complexity inaccurate. The errors (given by MSE) of Table I measure the inaccuracy associated in determining the intermediate asymptotics.…”

Section: Resultsmentioning

confidence: 99%

“…We believe that crucial events can be realized spontaneously by the complex systems along the recent lines of the work of Ref. [20][21][22], advocating Self-Organized Temporal Criticality (SOTC). SOTC is a theory explaining how a system of interacting units may spontaneously generate temporal complexity.…”

Section: Introductionmentioning

confidence: 98%

Biophotons: low signal/noise ratio reveals crucial events

Benfatto

Pace

Curceanu

et al. 2019

Preprint

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We study the emission of photons from germinating seeds using an experimental technique designed to detect photons of extremely small intensity when the signal/noise ratio is low. We analyze the dark count signal in the absence of germinating seeds as well as the photon emission during the germination process. The technique of analysis adopted here was originally designed to measure the temporal complexity of astrophysical, sociological and physiological processes. The foundation of this method, called Diffusion Entropy Analysis (DEA), rests on Kolmogorov complexity. The updated version of DEA used in this paper is designed to determine if the signal complexity is generated by either non-ergodic crucial events with a non-stationary correlation function or by the infinite memory of a stationary but non-integrable correlation function or by a mixture of both processes. We find that dark count yields the ordinary scaling, thereby showing that no complexity of either kinds may occur in the absence of any seeds in the chamber. In the presence of seeds in the chamber anomalous scaling emerges, reminiscent of that found in neuro-physiological processes. However, this is a mixture of both processes and with the progress of germination the non-ergodic component tends to vanish and complexity is dominated by the stationary infinite memory. We argue that this may be a sign of quantum coherence that according to some authors is the important ingredient of cognition.

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On social sensitivity to either zealot or independent minorities

Cited by 11 publications

References 15 publications

Entropic Approach to the Detection of Crucial Events

Entropic Approach to the Detection of Crucial Events

Self‐Organized Temporal Criticality: Bottom‐Up Resilience versus Top‐Down Vulnerability

Biophotons: low signal/noise ratio reveals crucial events

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