J. Delmas

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math.PR2024

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

Tianyi Bai, Jean-François 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…

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 $Z^{d}$ , $d \geq 5$ . Similarly, we defi…

Branching capacity of a random walk in Z5

Branching capacity and Brownian snake capacity

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