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The Fractal Tapestry of Life: III Multifractals Entail the Fractional Calculus

Description: This article is the third essay advocating the use the (non-integer) fractional calculus (FC) to capture the dynamics of complex networks in the twilight of the Newtonian era. Herein, the focus is on drawing a distinction between networks described by monfractal time series extensively discussed in the prequels and how they differ in function from multifractal time series, using physiological phenomena as exemplars.
Date: April 15, 2022
Creator: West, Bruce J.
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Partner: UNT College of Science
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Complex Periodicity and Synchronization

Description: Article explores experimental walking synchronization and complexity restoration. The main goal is to establish a physiological foundation of these important results based on the recent advances on the dynamics of the brain, interpreted as a system at criticality.
Date: September 30, 2020
Creator: Grigolini, Paolo; Mahmoodi, Korosh & West, Bruce J.
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Partner: UNT College of Science
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Relating size and functionality in human social networks through complexity

Description: Article argues that the Dunbar number arises as a consequence of a natural phase transition in the dynamic self-organization among N individuals within a social system. The authors provide a theoretical basis for the value of the Dunbar number and establish a theory-based bridge spanning the gap between sociology and psychology.
Date: July 20, 2020
Creator: Massari, Giovanni F.; Culbreth, Garland; Failla, Roberto; Grigolini, Paolo; West, Bruce J. & Bologna, Mauro
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Partner: UNT College of Science
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Crucial Development: Criticality Is Important to Cell-to-Cell Communication and Information Transfer in Living Systems

Description: This article is the fourth paper of the Special Issue Memory and Criticality. It bridges the the theoretical debate on the role of memory and criticality discussed in the three earlier manuscripts, with a review of key concepts in biology and focus on cell-to-cell communication in organismal development. The authors suggest that in conjunction with morphogenetic gradients, there exist gradients of information transfer creating cybernetic loops of stability and disorder, setting the stage for ad… more
Date: August 31, 2021
Creator: Hunt von Herbing, Ione; Tonello, Lucio; Benfatto, Maurizio; Pease, April & Grigolini, Paolo
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Partner: UNT College of Science
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Diffusion Entropy vs. Multiscale and Rényi Entropy to Detect Progression of Autonomic Neuropathy

Description: This article reviews the literature to argue the importance of the occurrence of crucial events in the dynamics of physiological processes. Crucial events are interpreted as short time intervals of turbulence, and the time distance between two consecutive crucial events is a waiting time distribution density with an inverse power law (IPL) index µ, with µ < 3 generating non-stationary behavior.
Date: January 14, 2021
Creator: Jelinek, Herbert F.; Tuladhar, Rohisha; Culbreth, Garland; Bohara, Gyanendra; Cornforth, David; West, Bruce J. et al.
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Partner: UNT College of Science

Renormalization group and fractional calculus methods in a complex world: A review

Description: This article is a review discussing the origin, development, and application of the renormalization group (RG) method in a variety of fields from the physical, social and life sciences, in singular perturbation theory, and reveal the need to connect the RG and the fractional calculus (FC). The authors also present recommendations for future research based on this new way of thinking.
Date: January 29, 2021
Creator: Guo, Lihong; Chen, YangQuan; Shi, Shaoyun & West, Bruce J.
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Partner: UNT College of Science
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Caputo Fractional Derivative and Quantum-Like Coherence

Description: This article studies two forms of anomalous diffusions and discusses the joint use of these prescriptions, with a phenomenological method and a theoretical projection method, leading to two apparently different diffusion equations. The authors prove that the two diffusion equations are equivalent and design a time series that corresponds to the anomalous diffusion equation proposed.
Date: February 9, 2021
Creator: Culbreth, Garland; Bologna, Mauro; West, Bruce J. & Grigolini, Paolo
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Partner: UNT College of Science
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Biophotons-and-emergence-of-quantum-coherencea-diffusion-entropy-analysisEntropy

Description: This article studies the emission of photons from germinating seeds using an experimental technique designed to detect light of extremely small intensity. It analyzes the dark count signal without germinating seeds as well as the photon emission during the germination process.
Date: April 29, 2021
Creator: Benfatto, Maurizio; Pace, Elisabetta; Curceanu, Catalina; Scordo, Alessandro; Clozza, Alberto; Davoli, Ivan et al.
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Partner: UNT College of Science
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Approaching Bounded Rationality: From Quantum Probability to Criticality

Description: This article discusses the decision-making model (DMM), a paradigmatic instance of criticality, which deals with bounded rationality issues in a similar way as quantum probability (QP), generating choices that cannot be accounted by classical probability (CP). This work may contribute to considering criticality as another possible fundamental pillar in order to improve the understanding of cognition and of quantum mechanics.
Date: June 13, 2021
Creator: Tonello, Lucio & Grigolini, Paolo
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Partner: UNT College of Science
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Team Resilience in Complex and Turbulent Environments: The Effect of Size and Density of Social Interactions

Description: This article addresses the question of how teams cope with environmental threats by investigating two drivers of team resilience: the team size and the density of social interactions among team members.
Date: July 24, 2018
Creator: Giannoccaro, Ilaria; Massari, Giovanni F. & Carbone, Giuseppe
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Partner: UNT College of Science
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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.
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Partner: UNT College of Science
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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.
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Partner: UNT College of Arts and Sciences
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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
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Partner: UNT College of Arts and Sciences
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