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On the moments and the interface of the symbiotic branching model
Symbiotic branching model mutually catalytic branching
2010/12/31
In this paper we introduce a critical curve separating the asymptotic behavior of the moments of the symbiotic branching model,introduced by Etheridge and Fleischmann [Stochastic Process. Appl.114 (20...
Convergence in $L^p$ and its exponential rate for a branching process in a random environment
branching process random environment
2010/11/1
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...