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math.PR2023
Conditioned Galton-Watson trees: The shape functional, and more on the sum of powers of subtree sizes and its mean
James Allen Fill, Svante Janson, Stephan Wagner
For a complex number , we consider the sum of the th powers of subtree sizes in Galton--Watson trees conditioned to be of size . Limiting distributions of this functional…
math.PR2023
The Uncover Process for Random Labeled Trees
Benjamin Hackl, Alois Panholzer, Stephan Wagner
We consider the process of uncovering the vertices of a random labeled tree according to their labels. First, a labeled tree with vertices is generated uniformly at random. The…