"Non-integer Replicas" and the random energy model (REM)
I will give the derivation of the finite size corrections to the random energy model using the "non-integer" replica approach. It gives some nice examples of how to use the steepest descents approach to statistical mechanics problems. This will give the details behind the results discussed in the Monday seminar for those who are interested. I will start with the definition of the REM so there should be no problem if you missed the Monday seminar.
This is a roughly weekly series of didactical blackboard talks focussing on some theoretical aspect of Condensed Matter, Biological, and Statistical Physics..