The profile of unlabeled trees

We consider the number of nodes in the levels of unlabeled rooted random trees and show that the joint distribution of several level sizes (where the level number is scaled by $\sqrt{n}$) weakly converges to the distribution of the local time of a Brownian excursion evaluated at the times correspond...

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Бібліографічні деталі
Автор: Bernhard Gittenberger
Формат: Стаття
Мова:English
Опубліковано: Discrete Mathematics & Theoretical Computer Science 2005-01-01
Серія:Discrete Mathematics & Theoretical Computer Science
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Онлайн доступ:https://dmtcs.episciences.org/3352/pdf