The Sherrington-Kirkpatrick model and its diluted version (**Cancelled due to inclement weather**)

Series
School of Mathematics Colloquium
Time
Thursday, February 13, 2014 - 11:00am for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Dmitry Panchenko – Texas A&M University
Organizer
Prasad Tetali
Abstract: I will talk about two types of random processes -- the classical Sherrington-Kirkpatrick (SK) model of spin glasses and its diluted version. One of the main goals in these models is to find a formula for the maximum of the process, or the free energy, in the limit when the size of the system is getting large. The answer depends on understanding the structure of the Gibbs measure in a certain sense, and this structure is expected to be described by the so called Parisi solution in the SK model and M├ęzard-Parisi solution in the diluted SK model. I will explain what these are and mention some results in this direction.