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Limiting Law of Local Fields for the Mean Field Ghatak-Sherrington Model

Chen, Yunhui et al.
arXiv (All) · Papers
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mathematical-physicsprobability
We study the limiting law of local field in the mean field Ghatak-Sherrington model with spin values $\{0,\pm1,\ldots,\pm S\}$ in the high-temperature regime. Using the cavity method and the quantitative overlap and self-overlap estimates of Sheng-Wu~\cite{SW24}, we prove a central limit theorem for
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