Highly Influenced

# RANDOMLY GROWING BRAID ON THREE STRANDS AND THE MANTA RAY By

@inproceedings{Mairesse2007RANDOMLYGB, title={RANDOMLY GROWING BRAID ON THREE STRANDS AND THE MANTA RAY By}, author={Jean Mairesse and Fr{\'e}d{\'e}ric Math{\'e}us}, year={2007} }

- Published 2007

In memory of Daniel Mollier, our former mathematics teacher at the Lycée Louis le Grand, Paris. Consider the braid group B3 = a, b|aba = bab and the nearest neighbor random walk defined by a probability ν with support {a, a −1 , b, b −1 }. The rate of escape of the walk is explicitly expressed in function of the unique solution of a set of eight polynomial equations of degree three over eight indeterminates. We also explicitly describe the harmonic measure of the induced random walk on B3… CONTINUE READING