Abstract

We consider semiclassical scattering for compactly supported perturbations of the Laplacian and show equidistribution of eigenvalues of the scattering matrix at (classically) non-degenerate energy levels. The only requirement is that sets of fixed points of certain natural scattering relations have measure zero. This extends the result of \[16], where the authors proved the equidistribution result under a similar assumption on fixed points but with the condition that there is no trapping.

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