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Simulation analysis of statistical properties of random polygonal lines iteratively generate on the plane

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Resumo(s)

Using renormalization, we compute a scale factor such that the distance of the endpoints of a Pacheco d'Amorim random polygonal line in the plane is a non-degenerate random variable. We also analyze more general random polygonal lines and the corresponding limit curves, folded at random points of the segments at each iterative step of its construction, instead of the middle point.

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Non-degenerate asymptotic laws renormalization Hausdorff dimension simulation plane random curves

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R. Santos, "Simulation analysis of statistical properties of random polygonal lines iteratively generate on the plane," Proceedings of the ITI 2011, 33rd International Conference on Information Technology Interfaces, Cavtat, Croatia, 2011, pp. 557-562.

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