Asymptotic behaviour of heavy-tailed branching processes in random environments
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DOI: 10.1214/19-ejp311
Abstract: Consider a heavy-tailed branching process (denoted by $Z_{n}$) in random environments, under the condition which infers that $\mathbb{E}\log m(\xi_{0})=\infty$. We show that (1) there exists no proper $c_{n}$ such that $\{Z_{n}/c_{n}\}$ has a proper, non-degenerate… read more here.
Keywords: tailed branching; heavy tailed; bar; bar bar ... See more keywords