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20042025
most citedScaling limits of Markov branching trees with applications to Galton-Watson and random unordered trees

102 citations · 713 across the 38 of their papers we have counts for

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Showing 2006Show all

2 papers · 1 filter

math.PR2006★ 1 cited

Invariance principles for spatial multitype Galton-Watson trees

Grégory Marc Miermont

We prove that critical multitype Galton-Watson trees converge after rescaling to the Brownian continuum random tree, under the hypothesis that the offspring distribution has finite…

math.PR2006★ 52 cited

Continuum tree asymptotics of discrete fragmentations and applications to phylogenetic models

Bénédicte Haas, Grégory Miermont, Jim Pitman +1

Given any regularly varying dislocation measure, we identify a natural self-similar fragmentation tree as scaling limit of discrete fragmentation trees with unit edge lengths. As a…