Large deviations for the multi-type branching process in random environment
1 : Laboratoire de Mathématiques de Bretagne Atlantique
Université de Bretagne Sud
We consider a multitype branching process $(Z_n)_{n \geq 0}$ in a random environment, we will establish a precise upper large deviation, i.e. $\bb P [\| Z_n \| > e^{nq} ]$ as $n \rightarrow \infty $.