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- W1644552743 abstract "The eigenvalue spacing 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 toward other asymptotics. For the case of all unipotent matrices, the proof gives a probabilistic interpretation to identities of Macdonald from symmetric function theory. For the case of upper triangular matrices over a finite field, connections between symmetric function theory and a probabilistic growth algorithm of Borodin emerge.." @default.
- W1644552743 created "2016-06-24" @default.
- W1644552743 creator A5053041055 @default.
- W1644552743 date "1999-05-24" @default.
- W1644552743 modified "2023-09-27" @default.
- W1644552743 title "The eigenvalue spacing of a random unipotent matrix in its action on lines" @default.
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