Fluctuations of the self-normalized sum in the Curie-Weiss model of SOC

Matthias Gorny, Srinivasa Varadhan

Research output: Contribution to journalArticle

Abstract

We extend the main theorem of Cerf and Gorny (Ann Probab, 2015) about the fluctuations in the Curie-Weiss model of SOC in the symmetric case. We present a short proof using the Hubbard-Stratonovich transformation with the self-normalized sum of the random variables.

Original languageEnglish (US)
Article numberA009
Pages (from-to)513-518
Number of pages6
JournalJournal of Statistical Physics
Volume160
Issue number3
DOIs
StatePublished - May 13 2015

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Self-normalized Sums
random variables
theorems
Random variable
Fluctuations
Theorem
Model

Keywords

  • Ising Curie-Weiss
  • Laplace’s method
  • SOC

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Fluctuations of the self-normalized sum in the Curie-Weiss model of SOC. / Gorny, Matthias; Varadhan, Srinivasa.

In: Journal of Statistical Physics, Vol. 160, No. 3, A009, 13.05.2015, p. 513-518.

Research output: Contribution to journalArticle

Gorny, Matthias ; Varadhan, Srinivasa. / Fluctuations of the self-normalized sum in the Curie-Weiss model of SOC. In: Journal of Statistical Physics. 2015 ; Vol. 160, No. 3. pp. 513-518.
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