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math.PR2011★ 5 cited
Schröder's problems and scaling limits of random trees
Jim Pitman, Douglas Rizzolo
In a classic paper Schröder posed four combinatorial problems about the number of certain types of bracketings of words and sets. Here we address what these bracketings look like o…
math.PR2011
Scaling limits of Markov branching trees and Galton-Watson trees conditioned on the number of vertices with out-degree in a given set
Douglas Rizzolo
We generalize recent results of Haas and Miermont to obtain scaling limits of Markov branching trees whose size is specified by the number of nodes whose out-degree lies in a given…