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The Spectral Form Factor Is Not Self-Averaging

The Spectral Form Factor Is Not Self-Averaging

The form factor, $k(t)$, is the spectral statistic which best displays nonuniversal quasiclassical deviations from random matrix theory. Recent estimations of $k(t)$ for a single spectrum found interesting new effects of this type. It was supposed that $k(t)$ is self-averaging and thus did not require an ensemble average. We here …