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I. Eliazar and J. Klafter, “Universal Generation of Statistical Self-Similarity: A Randomized Central Limit Theorem,” Physical Review Letters, Vol. 103, No. 4, 2009, Article ID: 40602. doi:10.1103/PhysRevLett.103.040602

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.