Notice
The Maximal Agreement Subtree problem for random trees
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Descriptif
Consider two binary trees whose leaves are labelled from 1 to n. What is the size of the largest set of labels such that the genealogy between these labels is the same in both trees? If the trees are picked uniformly at random in an independent way, a crude argument shows that this size grows at most like the square root of n. We show that this is not optimal. Perhaps surprisingly, this problem is linked to the study of the optimal Hölder regularity of homeomorphisms between two independent Brownian trees. Based on joint work with Delphin Sénizergues
Thème
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