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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 4617-4631 |
| Number of pages | 15 |
| Journal | Annals of Probability |
| Volume | 45 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2017 |
Bibliographical note
Publisher Copyright:© Institute of Mathematical Statistics, 2017.
Keywords
- Ground state energy
- Parisi formula
- Spin glasses