Free energy and complexity of spherical bipartite models
Probability
2015-06-19 v1 Mathematical Physics
math.MP
Abstract
We investigate both free energy and complexity of the spherical bipartite spin glass model. We first prove a variational formula in high temperature for the limiting free energy based on the well-known Crisanti-Sommers representation of the mixed p-spin spherical model. Next, we show that the mean number of local minima at low levels of energy is exponentially large in the size of the system and we derive a bound on the location of the ground state energy.
Keywords
Cite
@article{arxiv.1405.2321,
title = {Free energy and complexity of spherical bipartite models},
author = {Antonio Auffinger and Wei-Kuo Chen},
journal= {arXiv preprint arXiv:1405.2321},
year = {2015}
}
Comments
22 pages