Title:
A disordered system, a recursion relation, extreme value
statistics and random measures.
Abstract:
We study a disordered system through a recursion relation a generating
function of the partition function satisfies. The main goal being
analysing some asymptotic properties of this generating function. We
then discuss the relationship of this problem to the problem of
finding the asymptotic distribution of the maximum of a certain class
of correlated random variables as well as how this problem gives rise
to measures related to multiplicative cascade measures.