Spatio-temporal complexity in the clusters generated by fractional Brownian paths

Anna Carbone; H. Eugene Stanley

doi:10.1117/12.548618

25 May 2004 Spatio-temporal complexity in the clusters generated by fractional Brownian paths

Anna Carbone, H. Eugene Stanley

Proceedings Volume 5471, Noise in Complex Systems and Stochastic Dynamics II; (2004) https://doi.org/10.1117/12.548618
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

Abstract

The fractal properties of the clusters corresponding to the regions whose contour is a fractional brownian path have been extensively investigated. The clusters form a stationary sequence, which has been characterized by analyzing the length, the lifetime and the area of the single cluster. The rich fractal structure of the patterns has allowed to determine the time dependent Hurst exponent with great accuracy. We have also demonstrated that the cluster area, length and lifetime exhibit the characteristic scaling behavior of systems evolving through self-organized critical states.

Citation Download Citation

Anna Carbone and H. Eugene Stanley "Spatio-temporal complexity in the clusters generated by fractional Brownian paths", Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); https://doi.org/10.1117/12.548618

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