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arxiv: 1903.11338 · v1 · pith:E7RSID6Lnew · submitted 2019-03-27 · 🧮 math.PR

Branching processes in correlated random environment

classification 🧮 math.PR
keywords environmentbranchingcorrelatedprocessesrandomtailassociatedbrownian
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We consider the critical branching processes in correlated random environment which is positively associated and study the probability of survival up to the n-th generation. Moreover, when the environment is given by fractional Brownian motion, we estimate also the tail of progeny as well as the tail of width.

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