Han Le
University of Waterloo
Room: M3 3127
Free Energy and Overlap Fluctuations in the Bipartite Spherical SK Model
The spherical Sherrington–Kirkpatrick (SSK) model is a fundamental mean-field model of spin glasses, whose asymptotic behavior across different temperature regimes is now well understood. In this talk, we consider a multi-species variant of this model and study how the additional structure influences the Gibbs measure. In particular, we examine the bipartite SSK model and analyze fluctuations of the free energy and of two types of spin overlaps as the system size tends to infinity, comparing them with known results in the single-species setting. The talk includes a brief introduction to spin glasses and highlights the main ideas behind the proofs, including a contour integral representation of the partition function and techniques from random matrix theory. This is based on joint work with Elizabeth Collins-Woodfin and a work in progress with Jinho Baik.