Martingales and Profile of Binary Search Trees

Martingales and Profile of Binary Search Trees

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.

Profile and Height of Random Binary Search Trees

The purpose of this article is to survey recent results on distributional properties of random binary search trees. In particular we consider the profile and the height.

Connecting Yule Process, Bisection and Binary Search Tree via Martingales

We present new links between some remarkable martingales found in the study of the Binary Search Tree or of the bisection problem, looking at them on the probability space of a continuous time binary branching process.

The Profile of Binary Search Trees

Profile and Height of Random Binary Search Trees

The purpose of this article is to survey recent results on distributional properties of random binary search trees. In particular we consider the profile and the height.