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.
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Acknowledgments
The second author was supported partially by NSF Grant DMS 1208334.
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Gorny, M., Varadhan, S.R.S. Fluctuations of the Self-Normalized Sum in the Curie–Weiss Model of SOC. J Stat Phys 160, 513–518 (2015). https://doi.org/10.1007/s10955-015-1274-1
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DOI: https://doi.org/10.1007/s10955-015-1274-1