10.14288/1.0394319
Landon, Benjamin
Fluctuations of the overlap of the spherical SK model at low temperature
Banff International Research Station for Mathematical Innovation and Discovery
2020
MovingImage
en
1
We consider the fluctuations of the overlap between two replicas in the 2-spin spherical SK model in the low temperature phase. We show that the fluctuations are of order $N^{-1/3}$ and are given by a simple, explicit function of the eigenvalues of a GOE matrix. We show that this quantity converges and describe its limit in terms of quantities from random matrix theory. Joint work with P. Sosoe.