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On a comparative study of French's spectral distribution and the random matrix theory

✍ Scribed by Nazakat Ullah


Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
258 KB
Volume
164
Category
Article
ISSN
0375-9474

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The Eigenvalue Distribution of a Random
✍ Jason Fulman πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 120 KB

The eigenvalue distribution of a uniformly chosen random finite unipotent matrix in its permutation action on lines is studied. We obtain bounds for the mean number of eigenvalues lying in a fixed arc of the unit circle and offer an approach to other asymptotics. For the case of all unipotent matric