How to count in hierarchical landscapes: A full solution to mean-field complexity
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.
- Publication:
-
Physical Review E
- Pub Date:
- June 2023
- DOI:
- arXiv:
- arXiv:2207.06161
- Bibcode:
- 2023PhRvE.107f4111K
- Keywords:
-
- Condensed Matter - Statistical Mechanics;
- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- doi:10.1103/PhysRevE.107.064111