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arXiv · 1109.5579

Strong convergence of partial match queries in random quadtrees

Nicolas Curien
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Abstract

We prove that the rescaled costs of partial match queries in a random two-dimensional quadtree converge almost surely towards a random limit which is identified as the terminal value of a martingale. Our approach shares many similarities with the theory of self-similar fragmentations.

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Nicolas Curien. 2011-09-26. Strong convergence of partial match queries in random quadtrees. https://arxiv.org/abs/1109.5579

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