𝔖 Bobbio Scriptorium
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Random Hyperplane Search Trees

✍ Scribed by Devroye, Luc; King, James; McDiarmid, Colin


Book ID
118180793
Publisher
Society for Industrial and Applied Mathematics
Year
2009
Tongue
English
Weight
274 KB
Volume
38
Category
Article
ISSN
0097-5397

No coin nor oath required. For personal study only.


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In a randomly grown binary search tree BST of size n, any fixed pattern occurs with a frequency that is on average proportional to n. Deviations from the average case are highly unlikely and well quantified by a Gaussian law. Trees with forbidden patterns occur with an exponentially small probabilit