Exact Solution To The Random Sequential Dynamics Of A Message Passing Algorithm

PHYSICAL REVIEW E(2021)

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摘要
We analyze the random sequential dynamics of a message passing algorithm for Ising models with random interactions in the large system limit. We derive exact results for the two-time correlation functions and the speed of convergence. The de Almedia-Thouless stability criterion of the static problem is found to be necessary and sufficient for the global convergence of the random sequential dynamics.
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