Site correlation, anomalous diffusion, and enhancement of the localization length

Site correlation, anomalous diffusion, and enhancement of the localization length

Date: November 1, 1996
Creator: Allegrini, Paolo; Bonci, Luca; Grigolini, Paolo & West, Bruce J.
Description: This article discusses site correlation, anomalous diffusion, and enhancement of localization length.
Contributing Partner: UNT College of Arts and Sciences
Noise-induced transition from anomalous to ordinary diffusion: The crossover time as a function of noise intensity

Noise-induced transition from anomalous to ordinary diffusion: The crossover time as a function of noise intensity

Date: December 1995
Creator: Floriani, Elena; Grigolini, Paolo & Mannella, Riccardo
Description: This article discusses noise-induced transition from anomalous to ordinary diffusion and the crossover time as a function of noise intensity.
Contributing Partner: UNT College of Arts and Sciences
Anomalous diffusion and environment-induced quantum decoherence

Anomalous diffusion and environment-induced quantum decoherence

Date: July 1996
Creator: Bonci, Luca; Grigolini, Paolo & Laux, Adam
Description: Article discussing research on anomalous diffusion and environment-induced quantum decoherence.
Contributing Partner: UNT College of Arts and Sciences
Mega et al. Reply

Mega et al. Reply

Date: March 26, 2004
Creator: Mega, Mirko S.; Allegrini, Paolo; Grigolini, Paolo; Latora, Vito; Palatella, Luigi; Rapisarda, Andrea et al.
Description: This article is a reply to a comment by A. Helmstetter and D. Sornette about the article 'Power-Law Time Distribution of Large Earthquakes' from 2003.
Contributing Partner: UNT College of Arts and Sciences
Anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation: Exact time-dependent solutions

Anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation: Exact time-dependent solutions

Date: August 2000
Creator: Bologna, Mauro; Tsallis, Constantino & Grigolini, Paolo
Description: Article discussing research on anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation.
Contributing Partner: UNT College of Arts and Sciences
Model for Long-range Correlations in DNA Sequences

Model for Long-range Correlations in DNA Sequences

Date: December 1996
Creator: Allegrini, Paolo
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 assumed that the deterministic process corresponds to unknown biological rules which determine the DNA path, whereas the noise mimics the influence of an infinite-dimensional environment on the biological process under study. We prove that the resulting diffusion process, if the effect of the random process is neglected, is an a-stable Levy process with 1 < a < 2. We also show that, if the diffusion process is determined by the joint action of the deterministic and the random process, the correlation effects of the "deterministic dynamics" are cancelled on the short-range scale, but show up in the long-range one. We denote our prescription to generate statistical sequences as the Copying Mistake Map (CMM). We carry out our analysis of several DNA sequences, ...
Contributing Partner: UNT Libraries