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Linear response at criticality

Description: In this article, the authors study a set of cooperatively interacting units at criticality, and prove with analytical and numerical arguments that they generate the same renewal non-Poisson intermittency as that produced by blinking quantum dots.
Date: October 24, 2012
Creator: Svenkeson, Adam; Bologna, Mauro & Grigolini, Paolo
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Partner: UNT College of Arts and Sciences
open access

Renewal aging and linear response

Description: Paper discussing the linear response to an external perturbation of a renewal process, in an aging condition that, with no perturbation, would yield super-diffusion.
Date: February 6, 2008
Creator: Allegrini, Paolo; Ascolani, Gianluca; Bologna, Mauro & Grigolini, Paolo
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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
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Partner: UNT College of Arts and Sciences
open access

From power law intermittence to macroscopic coherent regime

Description: Article addressing the problem of establishing which is the proper form of quantum master equation generating a survival probability identical to that corresponding to the nonergodic sequence of "light on" and "light off" fluorescence fluctuations in blinking quantum dots.
Date: June 25, 2009
Creator: Bologna, Mauro; Budini, Adrián A.; Giraldi, Filippo & Grigolini, Paolo
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Partner: UNT College of Arts and Sciences
open access

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
open access

Ergodicity breaking and localization

Description: This article studies the joint action of the non-Poisson renewal events (NPR) yielding Continuous-time random walk (CTRW) with index α < 1 and two different generators of Hurst coefficient H ≠ 0.5, one generating fractional Brownian motion (FBM) and another scaled Brownian motion (SBM).
Date: July 25, 2016
Creator: Geneston, Elvis L.; Tuladhar, Rohisha; Beig, Mirza Tanweer A.; Bologna, Mauro & Grigolini, Paolo
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Partner: UNT College of Arts and Sciences
open access

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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