S. Barkhofen, T. Weich, A. Potzuweit, H. -J. Stoeckmann, U. Kuhl, M. Zworski
We present experimental studies of the symmetry reduced three-disk and five-disk systems using a microwave setup. By extracting the complex resonances from the signal by means of the method of the harmonic inversion we can access the distribution of the imaginary parts or the width distribution. While increasing the opening of the systems, a spectral gap is observed for thick as well as for thin repellers and for the latter case it is compared with the known topological pressure bounds. Furthermore the maxima of the distributions are found to coincide for a large range of the distance to radius parameter with half of the classical escape rate. These results confirm theoretical predictions based on rigoros mathematical analysis in the case of the spectral gap and on numerical experiments in the case of the maxima of the distributions.
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http://arxiv.org/abs/1212.5897
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