Exact solution to the random sequential dynamics of a message passing algorithm
arXiv:2101.01571 · doi:10.1103/PhysRevE.103.L030101
Abstract
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 {\em 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.
Accepted for publication in Physical Review E Letter