Fully Inhomogeneous Charge Distributions and Disordered Polymer Models

7 Fully Inhomogeneous Charge Distributions and Disordered Polymer Models 

Out of the class of weakly inhomogeneous charge distributions, the application of coarse graining ideas becomes much less evident. 

The first, and central for this work, example of fully inhomogeneous charge distribution comes from choosing ut as typical configuration of a family of random variables. 

We will consider various P, so various laws of u , but we single out a 

Definition 1.16 We will say that the family of random variables a is IID, if the two sequences wn n and u n n are IID (but in general u i 7 wi, recall that denotes equality in law) and the whole family w is a family of independent variables. We say that is exponentially integrable, if 

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