Asymptotics for Beta-Splitting Trees via Homogeneous Fragmentations and Meromorphic Potential Theory

Yoana R. Chorbadzhiyska, Martin Minchev, Mladen Savov

Inspired by recent work of Aldous, Janson, and Pittel on the critical beta-splitting model, we study the full beta-splitting family for beta greater than minus two through a canoni…