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Complexity and the Fractional Calculus

Description: Article discussing a study on complexity and the fractional calculus.
Date: March 28, 2013
Creator: Pramukkul, Pensri; Svenkeson, Adam; Grigolini, Paolo; Bologna, Mauro & West, Bruce J.
Item Type: Article

Dynamical model for DNA sequences

Description: This article discusses a dynamical model for DNA sequences based on the assumption that the statistical properties of DNA paths are determined by the joint action of two processes, one deterministic with long-range correlations and the other random and δ-function correlated.
Date: November 1995
Creator: Allegrini, Paolo; Barbi, M.; Grigolini, Paolo & West, Bruce J.
Item Type: Article

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.
Item Type: Article

Bianucci, Mannella, and Grigolini Reply

Description: Article replying to a comment by Massimo Falcioni and Angelo Vulpiani. The authors discuss research on the linear response theory (LRT).
Date: August 18, 1997
Creator: Bianucci, Marco; Mannella, Riccardo & Grigolini, Paolo
Item Type: Article

Towards the thermodynamics of localization processes

Description: In this article, the authors study the entropy time evolution of a quantum mechanical model, which is frequently used as a prototype for Anderson's localization.
Date: September 2000
Creator: Grigolini, Paolo; Pala, Marco G.; Palatella, Luigi & Roncaglia, Roberto
Item Type: Article

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: Article