2 papers
math.PR2026
Rare subtree patterns in size-conditioned Bienaymé trees: Poisson approximation and declumping
Igor Kortchemski, Leonard Vetter
We establish a general Poisson approximation for rare local patterns in critical Bienaymé--Galton--Watson trees with offspring distribution in the domain of attraction of a s…
math.PR2025
Condensation in subcritical Cauchy Bienaymé trees
Igor Kortchemski, Leonard Vetter
The goal of this note is to study the geometry of large size-conditioned Bienaymé trees whose offspring distribution is subcritical, belongs to the domain of attraction of a stabl…