3 papers
math.PR2025
A central limit theorem for the range of random walk indexed by an infinite tree
Tianyi Bai, Yueyun Hu
We are interested in the second-order fluctuations of the size of the range of a random walk indexed by an infinite tree in . Consider the Kesten tree with geometric…
math.PR2024
Branching capacity of a random walk in
Tianyi Bai, Jean-François Delmas, Yueyun Hu
We are interested in the branching capacity of the range of a random walk in .Schapira [28] has recently obtained precise asymptotics in the case and has demo…
math.PR2024
Branching capacity and Brownian snake capacity
Tianyi Bai, Jean-François Delmas, Yueyun Hu
The branching capacity has been introduced by [Zhu 2016] as the limit of the hitting probability of a symmetric branching random walk in , . Similarly, we defi…