The Curie-Weiss Model of SOC in Higher Dimension
Probability
2015-10-28 v2 Mathematical Physics
math.MP
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 of the randoms vectors in the model has a typical critical behaviour. The fluctuations are of order and the limiting law has a density proportional to the exponential of a fourth-degree polynomial.
Keywords
Cite
@article{arxiv.1510.05147,
title = {The Curie-Weiss Model of SOC in Higher Dimension},
author = {Matthias Gorny},
journal= {arXiv preprint arXiv:1510.05147},
year = {2015}
}