3 papers
math.PR2026
Critical Self-Similar Markov Trees
Nicolas Curien, Xingjian Hu, Dongjian Qian
Recently introduced and studied in arXiv:2407.07888, a self-similar Markov tree (ssMt) is a random decorated tree that vastly generalises the fragmentation tree. We study here the…
math.PR2024
Speed of Random Walks in Dirichlet Environment on a Galton-Watson Tree
Dongjian Qian, Yang Xiao
This paper deals with a transient random walk in Dirichlet environment, or equivalently a linearly edge reinforced random walk, on a Galton-Watson tree. We compute the stationary d…
math.PR2024
Scaling limit of the random walk on a Galton-Watson tree with regular varying offspring distribution
Dongjian Qian, Yang Xiao
We consider a random walk on a Galton-Watson tree whose offspring distribution has a regular varying tail of order . We prove the convergence of the renormalised heigh…