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

Matthias Gorny; S. Varadhan

doi:10.1007/s10955-015-1274-1

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

Matthias Gorny, S. Varadhan

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Article number	A009
Pages (from-to)	513-518
Number of pages	6
Journal	Journal of Statistical Physics
Volume	160
Issue number	3
DOIs	https://doi.org/10.1007/s10955-015-1274-1
State	Published - Aug 1 2015

Keywords

Ising Curie-Weiss
Laplace’s method
SOC

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s10955-015-1274-1

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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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author = "Matthias Gorny and S. Varadhan",

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year = "2015",

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Y1 - 2015/8/1

N2 - 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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KW - Laplace’s method

KW - SOC

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

Abstract

Keywords

ASJC Scopus subject areas

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