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D. W. Sims, E. J. Southall, N. E. Humphries, G. C. Hays, C. J. A. Bradshaw, J. W. Pitchford, A. James, M. Z. Ah- med, A. S. Brierley, M. A. Hindell, D. Morritt, M. K. Musyl, D. Righton, E. L. C. Shepard, V. J. Wearmouth, R. P. Wilson, M. J. Witt and J. D. Metcalfe, “Scaling Laws of Marine Predator Search Behaviour,” Nature, Vol. 451, No. 7182, 2008, pp. 1098-1102. doi:10.1038/nature06518
has been cited by the following article:
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TITLE:
Lévy Flights, 1/f Noise and Self Organized Criticality
AUTHORS:
Oliver López Corona, Pablo Padilla, Oscar Escolero, Alejandro Frank, Ruben Fossion
KEYWORDS:
Lévy Flights; 1/f Noise; Self Organized Criticality; Agents Modelling; Complexity
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.3,
March
8,
2013
ABSTRACT:
A new analysis of a previously studied traveling agent model, showed that there is a relation between the degree of homogeneity of the medium where the agents move, agent motion patterns, and the noise generated from their displacements. We proved that for a particular value of homogeneity, the system self organizes in a state where the agents carry out Lévy walks and the displacement signal corresponds to 1/f noise. Using probabilistic arguments, we conjectured that 1/f noise is a fingerprint of a statistical phase transition, from randomness (disorder) to predictability (order), and that it emerges from the contextuality nature of the system which generates it.
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