We show that the quenched complexity of saddles of the spherical pure p-spin model agrees with the annealed complexity when both are positive. Precisely, we show that the second moment of the number of critical values of a given finite index in a given interval has twice the growth rate of the first moment.
MSC Codes 60F10, 82D30.
|Original language||English (US)|
|State||Published - Jul 17 2020|
- Number of saddles
- Spherical p-spin
- Spin glass
ASJC Scopus subject areas