Tianyi Bai

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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 $Z^{d}$ . We consider the BRW with geometric offspring…

math.PR2024

Branching capacity of a random walk in $Z^{5}$

Tianyi Bai, Jean-FranÃ§ois Delmas, Yueyun Hu

We are interested in the branching capacity of the range of a random walk in $Z^{d}$ .Schapira [28] has recently obtained precise asymptotics in the case $d \geq 6$ and has demo…

Central limit theorem for the range of critical branching random walk

Branching capacity of a random walk in Z5

Branching capacity of a random walk in $Z^{5}$