2 papers
math.PR2025
Convergence of trees with a given degree sequence and of their associated laminations
Gabriel Berzunza Ojeda, Cecilia Holmgren, Paul Thévenin
In this paper, we study uniform rooted plane trees with given degree sequence. We show, under some natural hypotheses on the degree sequence, that these trees converge toward the s…
math.PR2025
Invariance principle for fragmentation processes derived from conditioned stable Galton-Watson trees
Gabriel Berzunza Ojeda, Cecilia Holmgren
Aldous, Evans and Pitman (1998) studied the behavior of the fragmentation process derived from deleting the edges of a uniform random tree on labelled vertices. In particular,…