How to count in hierarchical landscapes: A full solution to mean-field complexity.

Kent-Dobias, Jaron; Kurchan, Jorge · Phys Rev E · 2023

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Abstract

We derive the general solution for counting the stationary points of mean-field complex landscapes. It incorporates Parisi's solution for the ground state, as it should. Using this solution, we count the stationary points of two models: one with multistep replica symmetry breaking and one with full replica symmetry breaking.