Precise high energy asymptotics for the integrated density of states of anunbounded random Jacobi matrix

The purpose of this paper is to study the transition from the classical to the quantum asymptotics for the integrated density of states of an unbounde d random Jacobi matrix. Therefore, we give precise results on the behavior of the tail of the integrated density of states near infinity. We study the evolution of these asymptotics when the decay of the tail of the distribut ion of the random potential increases.