| We study level-spacing statistics for systems with a mixed phase space, where regular and chaotic regions coexist. Assuming statistical independence of the corresponding subspectra, spacings are described by the Berry-Robnik distribution. However due to dynamical tunneling, regular and chaotic states are coupled. This leads to small avoided crossings, which vary in size over many orders of magnitude, depending on the regular state involved. We demonstrate that this implies a power law of the level-spacing distribution for small spacings. |
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