The EMS Publishing House is now EMS Press and has its new home at

Please find all EMS Press journals and articles on the new platform.

Journal of Spectral Theory

Full-Text PDF (267 KB) | Metadata | Table of Contents | JST summary
Volume 8, Issue 4, 2018, pp. 1199–1220
DOI: 10.4171/JST/225

Published online: 2018-07-25

Equidistribution of phase shifts in trapped scattering

Maxime Ingremeau[1]

(1) Université de Strasbourg, France

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.

Keywords: Phase shifts, scattering theory, semiclassical analysis

Ingremeau Maxime: Equidistribution of phase shifts in trapped scattering. J. Spectr. Theory 8 (2018), 1199-1220. doi: 10.4171/JST/225