Ground state energy and energy landscape of the spherical mixed p-spin model
Spin glasses are disordered spin systems originated from the desire of understanding the strange magnetic behavior of certain alloys in physics. In this talk, we will focus on the landscape of the spherical mixed p-spin model. First, we will present the Crisanti-Sommers formula for the ground state energy. Second, we will discuss some geometric properties of the energy landscape corresponding to different mixtures. Based on joint works with A. Auffinger and A. Sen.