Winding angle variance of Fortuin-Kasteleyn contours.

@article{Wieland2003WindingAV,
  title={Winding angle variance of Fortuin-Kasteleyn contours.},
  author={Benjamin Wieland and D. Wilson},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2003},
  volume={68 5 Pt 2},
  pages={
          056101
        }
}
  • Benjamin Wieland, D. Wilson
  • Published 2003
  • Physics, Mathematics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • The variance in the winding number of various random fractal curves, including the self-avoiding walk, the loop-erased random walk, contours of Fortuin-Kastelyn clusters, and stochastic Loewner evolution, has been studied by numerous researchers. Usually the focus has been on the winding at the end points. We measure the variance in winding number at typical points along the curve. More generally, we study the winding at points where k strands come together, and some adjacent strands may be… CONTINUE READING

    Figures, Tables, and Topics from this paper.

    Explore Further: Topics Discussed in This Paper

    The winding of stationary Gaussian processes
    2
    A CLT for winding angles of the arms for critical planar percolation
    4
    How winding is the coast of Britain? Conformal invariance of rocky shorelines
    17
    Shortest path and Schramm-Loewner Evolution
    13

    References

    Publications referenced by this paper.