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Around the root of random multidimensional quadtrees

Abstract : We analyse the distribution of the root pattern of randomly grown multidimensional point quadtrees. In particular, exact, recursive and asymptotic formulas are given for the expected arity of the root.
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https://hal.inria.fr/hal-01184686
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Gilbert Labelle, Louise Laforest, Xavier Provençal. Around the root of random multidimensional quadtrees. Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. pp.335-344. ⟨hal-01184686⟩

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