Large and moderate deviations for a ${\mathbb{R}}^d$-valued branching random walk with a random environment in time

Chunmao Huang, Xin Wang, Xiaoqiang Wang

We consider a ${\mathbb{R}}^d$-valued branching random walk with a stationary and ergodic environment $\xi =({\xi }_n)$ indexed by time $n\in \mathbb{N}$. Let $Z_n$ be the counting measure of…