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            <title xml:lang="en">The survival probability of a critical multi-type branching process in i.i.d. random environment</title>
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                <term xml:lang="en">multi-type branching process</term>
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              <p>Conditioned on the generating functions of offspring distribution, we study the asymp-totic behaviour of the probability of non-extinction of a critical multi-type Galton-Watson process in i.i.d. random environments by using limits theorems for products of positive random matrices. Under some certain assumptions, the survival probability is proportional to 1/ √ n.</p>
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