Braids of entangled particle trajectories.

@article{Thiffeault2010BraidsOE,
  title={Braids of entangled particle trajectories.},
  author={Jean-Luc Thiffeault},
  journal={Chaos},
  year={2010},
  volume={20 1},
  pages={017516}
}
In many applications, the two-dimensional trajectories of fluid particles are available, but little is known about the underlying flow. Oceanic floats are a clear example. To extract quantitative information from such data, one can measure single-particle dispersion coefficients, but this only uses one trajectory at a time, so much of the information on relative motion is lost. In some circumstances the trajectories happen to remain close long enough to measure finite-time Lyapunov exponents… CONTINUE READING

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