3 papers
math.PR2026
A tightness criterion for fragmentations
Gabriel Berzunza Ojeda, Cecilia Holmgren, Svante Janson
This note presents a simple criterion for the tightness of stochastic fragmentation processes. Our work is motivated by an application to a fragmentation process derived from delet…
math.PR2026
Fringe subtrees of split trees and fractional split trees
Cecilia Holmgren, Jasper Ischebeck, Svante Janson
We consider additive functionals with small toll functions on split trees and a generalization of split trees, which we call fractional split trees, where the split vecto…
math.PR2024
The number of descendants in a preferential attachment graph
Svante Janson, Tiffany Y. Y. Lo
We study the number of vertices that can be reached from the last added vertex via a directed path (the descendants) in the standard preferential attachment graph. In…