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Model for Long-range Correlations in DNA Sequences

Description: We address the problem of the DNA sequences developing a "dynamical" method 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 delta correlated. The generator of the deterministic evolution is a nonlinear map, belonging to a class of maps recently tailored to mimic the processes of weak chaos responsible for the birth of anomalous diffusion. It is assu… more
Date: December 1996
Creator: Allegrini, Paolo
Partner: UNT Libraries
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

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
Partner: UNT College of Arts and Sciences
open access

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.
Partner: UNT College of Arts and Sciences
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