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Unitary eigenoperators of ergodic transformations

✍ Scribed by E Flytzanis

Book ID
107794850
Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
528 KB
Volume
38
Category
Article
ISSN
0022-1236

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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