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arXiv · 2308.09099

Thouless-Anderson-Palmer equations for the Multi-species Sherrington-Kirkpatrick model

Qiang Wu
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Abstract

We prove the Thouless-Anderson-Palmer (TAP) equations for the local magnetization in the multi-species Sherrington-Kirkpatrick (MSK) spin glass model. One of the key ingredients is based on concentration results established in~\cite{arXiv:2012.13381}. The equations hold at high temperature for general MSK model without positive semi-definite assumption on the variance profile matrix $\mathbf{\Delta}^2$.

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Qiang Wu. 2023-08-17. Thouless-Anderson-Palmer equations for the Multi-species Sherrington-Kirkpatrick model. https://arxiv.org/abs/2308.09099

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