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math.PRMar 15, 2015
5
citations (OpenAlex)
authors
  • Matthias Gorny
  • S. R. S. Varadhan
institutions
  • Courant Institute of Mathematical Sciences
  • École des Neurosciences de Paris
  • École Normale Supérieure - PSL
  • Université Paris-Sud
arXiv abstractPDF
paper

Fluctuations of the Self-Normalized Sum in the Curie-Weiss Model of SOC

arXiv:1503.04415 · doi:10.1007/s10955-015-1274-1

Abstract

We extend the main theorem of arXiv:1301.6911 about the fluctuations in the Curie-Weiss model of SOC. We present a short proof using the Hubbard-Stratonovich transformation with the self-normalized sum of the random variables.

Cited by in corpus (1)

  • An extension of the Ising-Curie-Weiss model of self-organized criticality with a threshold on the interaction range
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