An extension of the Ising-Curie-Weiss model of self-organized criticality with a threshold on the interaction range
Author:
Affiliation:
1. Aix Marseille Univ, CNRS, Centrale Marseille, I2M, Marseille, France
Publisher
Institute of Mathematical Statistics
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Reference27 articles.
1. Patrick Billingsley, Convergence of probability measures, second ed., Wiley Series in Probability and Statistics: Probability and Statistics, John Wiley & Sons, Inc., New York, 1999, A Wiley-Interscience Publication.
2. William Feller, An introduction to probability theory and its applications. Vol. I, third ed., John Wiley & Sons, Inc., New York-London-Sydney, 1968.
3. M. Aizenman, J. T. Chayes, L. Chayes, and C. M. Newman, Discontinuity of the magnetization in one-dimensional 1∕|x−y|2 Ising and Potts models, J. Statist. Phys. 50 (1988), no. 1-2, 1–40.
4. Per Bak, How nature works, Copernicus, New York, 1996, The science of self-organized criticality.
5. Per Bak, Chao Tang, and Kurt Wiesenfeld, Self-organized criticality: An explanation of the 1/f noise, Physical review letters 59 (1987), no. 4, 381.
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