Continuous time digital search tree and a border aggregation model

Svante Janson; Debleena Thacker

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arXiv · 2004.13957

Continuous time digital search tree and a border aggregation model

Svante Janson·Debleena Thacker

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Abstract

We consider the continuous-time version of the random digital search tree, and construct a coupling with a border aggregation model as studied in Thacker and Volkov (2018), showing a relation between the height of the tree and the time required for aggregation. This relation carries over to the corresponding discrete-time models. As a consequence we find a very precise asymptotic result for the time to aggregation, using recent results by Drmota et al.\ (2020) for the digital search tree.

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Svante Janson, Debleena Thacker. 2020-04-29. Continuous time digital search tree and a border aggregation model. https://arxiv.org/abs/2004.13957

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