On the internal path length of d-dimensi
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Ralph Neininger; Ludger RΓΌschendorf
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Article
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1999
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John Wiley and Sons
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English
β 241 KB
It is proved that the internal path length of a d-dimensional quad tree after normalization converges in distribution. The limiting distribution is characterized as a fixed point of a random affine operator. We obtain convergence of all moments and of the Laplace transforms. The moments of the limit