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arXiv · 1510.05147

The Curie-Weiss Model of SOC in Higher Dimension

Matthias Gorny
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Abstract

We build and study a multidimensional version of the Curie-Weiss model of self-organized criticality we have designed in arXiv:1301.6911. For symmetric distributions satisfying some integrability condition, we prove that the sum $S_n$ of the randoms vectors in the model has a typical critical behaviour. The fluctuations are of order $n^{3/4}$ and the limiting law has a density proportional to the exponential of a fourth-degree polynomial.

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Matthias Gorny. 2015-10-27. The Curie-Weiss Model of SOC in Higher Dimension. https://arxiv.org/abs/1510.05147

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