Thouless-Anderson-Palmer equations for the Multi-species Sherrington-Kirkpatrick model
Probability
2023-08-21 v1 Mathematical Physics
math.MP
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 .
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Cite
@article{arxiv.2308.09099,
title = {Thouless-Anderson-Palmer equations for the Multi-species Sherrington-Kirkpatrick model},
author = {Qiang Wu},
journal= {arXiv preprint arXiv:2308.09099},
year = {2023}
}
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13 pages