Limit theorems for the minimal position of a branching random walk in
random environment
Limit theorems for the minimal position of a branching random walk in
random environment
We consider a branching system of random walk in random environment (in location) in $\mathbb{N}$. We will give the exact limit value of $\frac{M_{n}}{n}$, where $M_{n}$ denotes the minimal position of branching random walk at time $n$. A key step in the proof is to transfer our branching random walks …