Description:

Title: A unifying approach to the replica-symmetric regime in general dilute spin glasses

Abstract:

In this talk, I shall present a unifying approach to study the replica-symmetric regime of general dilute spin glasses. In particular, we identify two regimes  - high temperature and subcritical dilution - where we observe a large class of popular spin glasses exhibiting replica-symmetric behavior. We revisit several well-known formulas for the free and ground state energies of some of these models and derive new ones for some others. Joint work with Arnab Sen and Wei-Kuo Chen.