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The spectrum edge of random matrix ensembles

✍ Scribed by P.J. Forrester


Book ID
116148630
Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
820 KB
Volume
402
Category
Article
ISSN
0550-3213

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Ergodicity of Unitary Random-Matrix Ense
✍ Z. PluhaΕ™; H.A. WeidenmΓΌller πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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