Ergodicity of Unitary Random-Matrix Ense
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Z. PluhaΕ; H.A. WeidenmΓΌller
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Article
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2000
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Elsevier Science
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English
β 191 KB
Using Efetov's supersymmetry method, we prove the ergodicity of a wide class of unitary random-matrix ensembles. We do so by showing that the connected part of the autocorrelation function of any observable vanishes asymptotically. The essential elements of the proof consist in a polar decomposition