Abstract
We investigate the multifractal nature of a class of functions which naturally appears in the Weyl asymptotic distribution of the eigenvalues associated with the semi-classical limit of Schrödinger operators with compactly supported non-positive continuous potentials. As a consequence, we obtain a fine description of the local asymptotic distribution of the eigenvalues for potentials whose occupation measure is a Gibbs measure.
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Recommended by J A Glazier