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open access

Entropy Balance in the Expanding Universe: A Novel Perspective

Description: The article describes cosmic expansion as correlated with the standpoints of local observers’ co-moving horizons. In keeping with relational quantum mechanics, which claims that quantum systems are only meaningful in the context of measurements, the authors suggest that information gets ergodically “diluted” in our isotropic and homogeneous expanding Universe, so that an observer detects just a limited amount of the total cosmic bits.
Date: April 17, 2019
Creator: Tozzi, Arturo & Peters, James F.
Partner: University of North Texas
open access

Dynamical approach to Lévy processes

Description: This article discusses a dynamical approach to Lévy processes, which makes it possible to derive all statistical properties of the diffusion process from the correlation function of the dichotomous fluctuating variable Φy(t).
Date: November 1996
Creator: Allegrini, Paolo; Grigolini, Paolo & West, Bruce J.
Partner: UNT College of Arts and Sciences
open access

On social sensitivity to either zealot or independent minorities

Description: This article uses the self-organized temporal criticality (SOTC) model to identify the timing of crucial events as a new mechanism with which to generate criticality, thereby establishing a way for the internal dynamics of the decision making process to suppresss the sensitivity of social opinion to either zealot or independent minorities.
Date: March 27, 2018
Creator: Mahmoodi, Korosh; Grigolini, Paolo & West, Bruce J.
Partner: UNT College of Science
open access

Effect of noise and detector sensitivity on a dynamical process: Inverse power law and Mittag-Leffler interevent time survival probabilities

Description: Article on the effect of noise and detector sensitivity on a dynamical process and the inverse power law and Mittag-Leffler interevent time survival probabilities.
Date: February 10, 2014
Creator: Pramukkul, Pensri; Svenkeson, Adam & Grigolini, Paolo
Partner: UNT College of Arts and Sciences
open access

Towards a Neuronal Gauge Theory

Description: This article proposes that the brain (and other self-organised biological systems) can be characterised via the mathematical apparatus of a gauge theory.
Date: March 8, 2016
Creator: Sengupta, Biswa; Tozzi, Arturo; Cooray, Gerald K.; Douglas, Pamela K. & Friston, Karl J.
Partner: UNT College of Arts and Sciences
open access

Dynamics of Electroencephalogram Entropy and Pitfalls of Scaling Detection

Description: This article discusses dynamics of electroencephalogram entropy and pitfalls of scaling detection. Herein the authors study the time evolution of diffusion entropy to elucidate the scaling of EGG time series.
Date: March 10, 2010
Creator: Ignaccolo, Massimiliano; Latka, Miroslaw; Jernajczyk, Wojciech; Grigolini, Paolo & West, Bruce J.
Partner: UNT College of Arts and Sciences
open access

Trajectory versus probability density entropy

Description: In this article, the authors show that the widely accepted conviction that a connection can be established between the probability density entropy and the Kolmogorov-Sinai (KS) entropy is questionable.
Date: 2001
Creator: Bologna, Mauro; Grigolini, Paolo; Karagiorgis, Markos & Rosa, Angelo
Partner: UNT College of Arts and Sciences
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