English

A PDE perspective on the Aizenman-Sims-Starr scheme

Probability 2022-12-20 v1

Abstract

The limit free energy of an enriched mixed pp-spin spin glass model has been identified with the solution of a Hamilton-Jacobi equation. In this note, we remark that the Aizenman-Sims-Starr scheme yields a subsolution to the equation.

Keywords

Cite

@article{arxiv.2212.09542,
  title  = {A PDE perspective on the Aizenman-Sims-Starr scheme},
  author = {Hong-Bin Chen},
  journal= {arXiv preprint arXiv:2212.09542},
  year   = {2022}
}

Comments

12 pages

R2 v1 2026-06-28T07:42:26.271Z