Exact solution to the random sequential dynamics of a message passing algorithm

01/05/2021

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by   Burak Çakmak, et al.

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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.