How to count in hierarchical landscapes: A full solution to mean-field complexity
Jaron Kent-Dobias, Jorge Kurchan
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.
Topics & Concepts
Field (mathematics)Count dataComputer scienceMathematicsStatisticsPure mathematicsPoisson distributionMaterial Dynamics and PropertiesTheoretical and Computational PhysicsStochastic processes and statistical mechanics