3 papers
math.PR2025
Central limit theorem for the range of critical branching random walk
Tianyi Bai, Yueyun Hu
In this paper, we study second order fluctuations for the size of the range of a critical branching random walk (BRW) in . We consider the BRW with geometric offspring…
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…