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}
}
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

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