Mean field theory of a polymer in a random medium and relation to travelling waves
The problem of a directed polymer in a random medium has been studied for a number of decades, but is still an area of active research. I will show how the mean field equations can be obtained for the model on a tree and show that there is a transition to a random but frozen state. Time permitting I will indicate how the solution of the mean field equations can be viewed as travelling waves similar to solutions of the Kolmogorov-Petrovsky-Piscounov (KPP) equation.
This is a roughly weekly series of didactical blackboard talks focussing on some theoretical aspect of Condensed Matter, Biological, and Statistical Physics..