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New multicritical random matrix ensembles

✍ Scribed by Romuald A Janik

Book ID
117554267
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
121 KB
Volume
635
Category
Article
ISSN
0550-3213

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Ergodicity of Unitary Random-Matrix Ense
Ergodicity of Unitary Random-Matrix Ensembles
✍ 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