Phys. Rev. E 68, 056101 (2003) [4 pages]Winding angle variance of Fortuin-Kasteleyn contoursReceived 11 June 2002; revised 19 June 2002; published 3 November 2003 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 conditioned not to hit each other. The measured values are consistent with an interesting conjecture. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.68.056101
DOI:
10.1103/PhysRevE.68.056101
PACS:
05.50.+q, 64.60.Fr, 64.60.Ak
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