Continuum tree asymptotics of discrete fragmentations and applications to phylogenetic models
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 …