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D. Boyer, O. Miramontes and H. Larralde, “Lévy-Like Behaviour in Deterministic Models of Intelligent Agents Exploring Heterogeneous Environments,” Journal of Physics A: Mathematical and Theoretical, Vol. 42, No. 43, 2009.

has been cited by the following article:

• 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.