Numerical studies of planar closed random walks

نویسنده

  • Stéphane Ouvry
چکیده

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 dH = 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 dH ≈ 1.77.

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Numerical studies of planar closed random walks . Jean Desbois and Stéphane Ouvry April

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 dH = 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 dH ≈ 1.77.

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تاریخ انتشار 2008