Continuous-time digital search tree and a border aggregation model

نویسندگان

چکیده

We consider the continuous-time version of random digital search tree, and construct a coupling with border aggregation model as studied in Thacker Volkov (Ann. Appl. Probab. 28 (2018) 1604–1633), showing relation between height tree time required for aggregation. This carries over to corresponding discrete-time models. As consequence we find very precise asymptotic result aggregation, using recent results by Drmota et al. (Random Structures Algorithms 58 (2021) 430–467) tree.

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ژورنال

عنوان ژورنال: Bernoulli

سال: 2022

ISSN: ['1573-9759', '1350-7265']

DOI: https://doi.org/10.3150/21-bej1429