We consider the spherical spin glass model, also known as the spherical Sherrington-Kirkpatrick (SSK) model. We evaluate the fluctuations of the free energy where there are only 2-spin interactions, and show that the limit is given by the GOE Tracy-Widom distribution or the Gaussian distribution depending on the temperature. Non-Gaussian interactions and non-zero mean interactions are also going to be discussed.

Jinho Baik (Michigan)Thu, Mar 3

We consider the spherical spin glass model, also known as the spherical Sherrington-Kirkpatrick (SSK) model. We evaluate the fluctuations of the free energy where there are only 2-spin interactions, and show that the limit is given by the GOE Tracy-Widom distribution or the Gaussian distribution depending on the temperature. Non-Gaussian interactions and non-zero mean interactions are also going to be discussed.

This is a joint work with Ji Oon Li.