English

Parisi formula for the ground state energy in the mixed p-spin model

Probability 2016-06-29 v2 Mathematical Physics math.MP

Abstract

We show that the thermodynamic limit of the ground state energy in the mixed p-spin model can be identified as a variational problem. This gives a natural generalization of the Parisi formula at zero temperature.

Keywords

Cite

@article{arxiv.1606.05335,
  title  = {Parisi formula for the ground state energy in the mixed p-spin model},
  author = {Antonio Auffinger and Wei-Kuo Chen},
  journal= {arXiv preprint arXiv:1606.05335},
  year   = {2016}
}

Comments

14 pages. Minor revision