Thouless-Anderson-Palmer equations for the Multi-species Sherrington-Kirkpatrick model
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~arXiv:2012.13381. The equations hold at high temperature for general MSK model without positive semi-definite assumption on the variance profile matrix 2.
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