Xiaoyue Zhang

collaborators

3 papers

math.PR2019

Fixed points with finite mean of the smoothing transform in random environments

Wenming Hong, Xiaoyue Zhang

At each time $n \in N$ , let $Y ˉ^{(n)} = (y_{1}^{(n)}, y_{2}^{(n)}, \dots)$ be a random sequence of non-negative numbers that are ultimately zero in a random environment $ξ…

math.PR2018

Asymptotic behaviour of heavy-tailed branching processes in random environments

Wenming Hong, Xiaoyue Zhang

Consider a heavy-tailed branching process (denoted by $Z_{n}$ ) in random environments, under the condition which infers that $E lo g m (ξ_{0}) = \infty$ . We show that (1) ther…

math.PR2018

Limit theorems for the minimal position of a branching random walk in random environment

Wenming Hong, Wanting Hou, Xiaoyue Zhang

We consider a branching system of random walk in random environment (in location) in $N$ . We will give the exact limit value of $\frac{M _{n}}{n}$ , where $M_{n}$ denotes th…