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Martingales and Profile of Binary Search Trees

Brigitte Chauvin·Thierry Klein·Jean-Francois Marckert·Alain Rouault
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Abstract

We are interested in the asymptotic analysis of the binary search tree (BST) under the random permutation model. Via an embedding in a continuous time model, we get new results, in particular the asymptotic behavior of the profile.

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Brigitte Chauvin, Thierry Klein, Jean-Francois Marckert, Alain Rouault. 2004-10-07. Martingales and Profile of Binary Search Trees. https://arxiv.org/abs/math/0410211

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