Van der Waerden Conjecture for Mixed Discriminants
| dc.creator | Gurvits, Leonid | |
| dc.date | 2004-06-21 | |
| dc.date.accessioned | 2026-07-07T05:09:27Z | |
| dc.date.available | 2026-07-07T05:09:27Z | |
| dc.description | We prove that the mixed discriminant of doubly stochastic $n$-tuples of semidefinite hermitian $n \times n$ matrices is bounded below by $\frac{n!}{n^{n}}$ and that this bound is uniquely attained at the $n$-tuple $(\frac{1}{n} I,...,\frac{1}{n} I)$. This result settles a conjecture posed by R. Bapat in 1989. We consider various generalizations and applications of this result. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0406420 | |
| dc.identifier | http://arxiv.org/abs/math/0406420 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71634 | |
| dc.subject | Combinatorics | |
| dc.title | Van der Waerden Conjecture for Mixed Discriminants | |
| dc.type | text |