Equidistribution of phase shifts in trapped scattering

  • Maxime Ingremeau

    Université de Strasbourg, France

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.

Cite this article

Maxime Ingremeau, Equidistribution of phase shifts in trapped scattering. J. Spectr. Theory 8 (2018), no. 4, pp. 1199–1220

DOI 10.4171/JST/225