Numerical studies of planar closed random walks

Details Numerical studies of planar closed random walks Numerical studies of planar closed random walks

2008-04-07

arxiv.org/abs/0804.1002v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, 15 figures

Scientific paper

10.1088/1742-5468/2008/08/P08004

Lattice numerical simulations for planar closed random walks and their
winding sectors are presented. The frontiers of the random walks and of their
winding sectors have a Hausdorff dimension $d_H=4/3$. However, when properly
defined by taking into account the inner 0-winding sectors, the frontiers of
the random walks have a Hausdorff dimension $d_H\approx 1.77$.

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