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Distribution of Entries in a Substochastic Matrix Having Eigenvalues Near 1

✍ Scribed by Hartfiel, D. J.

Book ID
118216238
Publisher
Society for Industrial and Applied Mathematics
Year
2000
Tongue
English
Weight
246 KB
Volume
21
Category
Article
ISSN
0895-4798

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The Eigenvalue Distribution of a Random Unipotent Matrix in Its Representation on Lines
✍ 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