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It has been known for some time [6] that ensembles of disordered systems exhibit RMT statistics upon disorder averaging.
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Berkolaiko, G.1
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0034288234
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B/2} defines an ergodic flow on a B torus. This means that the k average can be replaced by a configurational average over the B torus, i.e., an average over B independent phases.
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edited by I.V. Lerner, J. P Keating, and D. E. Khmelnitskii Plenum, New York
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M. Zirnbauer, J. Phys. A 29, 7113 (1996); M. Zirnbauer, in Supersymmetry and Trace Formulae: Chaos and Disorder, edited by I.V. Lerner, J. P Keating, and D. E. Khmelnitskii (Plenum, New York, 1999).
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Zirnbauer, M.1
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25
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10244251602
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S. Gnutzmann A. Altland (to be published)
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S. Gnutzmann and A. Altland (to be published).
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26
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10244232829
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note
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These technical assumptions simplify the analysis. We believe them to be physically irrelevant
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28
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0033550128
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For an example of a mixing graph with nonuniversal spectral statistics, see G. Berkolaiko and J. P. Keating, J. Phys. A 32, 7827 (1999).
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29
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10244249147
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note
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For a definition of the supersymmetric generalization of the determinant "sdet" and the trace "str," see [6].
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30
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10244242514
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note
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-1 to symmetrize the action and arrive at (5).
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31
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85088492740
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-1)
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-1).
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32
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85088490086
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note
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-1) which are negligible.
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