4 papers
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…
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…
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 height…
Regular subspaces of symmetric stable processes
Dongjian Qian, Jiangang Ying, Yushu Zheng
Roughly speaking, regular subspaces are regular Dirichlet forms that inherit the original forms with smaller domains. In this paper, regular subspaces of 1-dim symmetric -stable…