Burau representation and random walk on string links
| dc.creator | Lin, Xiao-Song | |
| dc.creator | Tian, Feng | |
| dc.creator | Wang, Zhenghan | |
| dc.date | 1996-05-15 | |
| dc.date | 1996-10-04 | |
| dc.date.accessioned | 2026-07-07T09:08:39Z | |
| dc.date.available | 2026-07-07T09:08:39Z | |
| dc.description | Using a probabilistic interpretation of the Burau representation of the braid group offered by Vaughan Jones, we generalize the Burau representation to a representation of the semigroup of string links. This representation is determined by a linear system, and is dominated by finite type string link invariants. For positive string links, the representation matrix can be interpreted as the transition matrix of a Markov process. For positive non-separable links, we show that all states are persistent. (This is an extensively revised version of the first author's original paper titled "Burau representation and random walk on knots".) | |
| dc.description | AMSTEX, 12 pages with 4 figures | |
| dc.identifier | https://arxiv.org/abs/q-alg/9605023 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9605023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150795 | |
| dc.subject | Quantum Algebra | |
| dc.title | Burau representation and random walk on string links | |
| dc.type | text |