Continuum tree asymptotics of discrete fragmentations and applications   to phylogenetic models
  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 an application, we obtain continuum random tree limits of Aldous's beta-splitting models and Ford's alpha models for phylogenetic trees. This confirms in a strong way that the whole trees grow at the same speed as the mean height of a randomly chosen leaf. 
B\'en\'edicte Haas, Gr\'egory Miermont, Jim Pitman, Matthias Winkel