Burau representation and random walk on string links

Details Burau representation and random walk on string links Burau representation and random walk on string links

1996-05-15

arxiv.org/abs/q-alg/9605023v2

Mathematics

Quantum Algebra

AMSTEX, 12 pages with 4 figures

Scientific paper

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".)

Affiliated with

Also associated with

No associations

Rating

Burau representation and random walk on string links does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Burau representation and random walk on string links, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Burau representation and random walk on string links will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-668012