The Limit Path Trajectories

We consider both infinite volume limits and scaling limits, but in both cases we just give the basic ideas of the proofs. We will then focus on the dependence of the results on the boundary conditions. In reality, the only cases in which there is a dependence of the limit path measure on the boundary conditions is when w V  

In other words, it is the case in which there is a non-trivial copolymer interaction, with centered charges, and the model is delocalized. 

---