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.
- Ising Curie-Weiss
- Laplace’s method
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics