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Convergence in $L^p$ and its exponential rate for a branching process in a random environment
branching process random environment
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2010/11/9
We consider a supercritical branching process $(Z_n)$ in a random environment $\xi$. Let $W$ be the limit of the normalized population size $W_n=Z_n/E[Z_n|\xi]$. We first show a necessary and sufficie...