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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
Item Type: Refine your search to only Article
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
Item Type: Refine your search to only Paper
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
Item Type: Refine your search to only Article
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
Item Type: Refine your search to only Article
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
Item Type: Refine your search to only Article
Partner: UNT College of Science
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The Dynamic Foundation of Fractal Operators.

Description: The fractal operators discussed in this dissertation are introduced in the form originally proposed in an earlier book of the candidate, which proves to be very convenient for physicists, due to its heuristic and intuitive nature. This dissertation proves that these fractal operators are the most convenient tools to address a number of problems in condensed matter, in accordance with the point of view of many other authors, and with the earlier book of the candidate. The microscopic foundation … more
Date: May 2003
Creator: Bologna, Mauro
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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
Item Type: Refine your search to only Article
Partner: UNT College of Science
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