Energy landscapes of mean field spin glasses

Stochastics Seminar
Thursday, November 2, 2017 - 15:05
1 hour (actually 50 minutes)
Skiles 006
University of Minnesota
The Sherrington-Kirkpatirck (SK) model is a mean-field spin glass introduced by theoretical physicists in order to explain the strange behavior of certain alloys, such as CuMn. Despite of its seemingly simple formulation, it was conjectured to possess a number of profound properties. This talk will be focused on the energy landscapes of the SK model and the mixed p-spin model with both Ising and spherical configuration spaces. We will present Parisi formule for their maximal energies followed by descriptions of the energy landscapes near the maximum energy. Based on joint works with  A. Auffinger, M. Handschy, G. Lerman, and A. Sen.