97-636 Frederic Klopp

Precise high energy asymptotics for the integrated density of states of an unbounded random Jacobi matrix (256K, Uuencoded Gzipped Postscript) Dec 18, 97

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Abstract. 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 unbounded 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 distribution of the random potential increases.

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