The eigenvalue spacing of a random unipotent matrix in its action on lines
| dc.creator | Fulman, Jason | |
| dc.date | 1999-05-24 | |
| dc.date.accessioned | 2026-07-07T05:29:12Z | |
| dc.date.available | 2026-07-07T05:29:12Z | |
| dc.description | 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.. | |
| dc.identifier | https://arxiv.org/abs/math/9905149 | |
| dc.identifier | http://arxiv.org/abs/math/9905149 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78551 | |
| dc.subject | Combinatorics | |
| dc.subject | Group Theory | |
| dc.title | The eigenvalue spacing of a random unipotent matrix in its action on lines | |
| dc.type | text |