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Sequential Dynamics in Ising Spin Glasses
Yatin Dandi, David Gamarnik, Francisco Pernice, Lenka Zdeborov\'a
https://arxiv.org/abs/2506.09877 https://…

Sequential Dynamics in Ising Spin Glasses
We present the first exact asymptotic characterization of sequential dynamics for a broad class of local update algorithms on the Sherrington-Kirkpatrick (SK) model with Ising spins. Focusing on dynamics implemented via systematic scan -- encompassing Glauber updates at any temperature -- we analyze the regime where the number of spin updates scales linearly with system size. Our main result provides a description of the spin-field trajectories as the unique solution to a system of integro-diff…