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- W2600552179 abstract "Branching processes $(Z_n)_{n ge 0}$ in a varying environment generalize the Galton-Watson process, in that they allow time-dependence of the offspring distribution. Our main results concern general criteria for a.s. extinction, square-integrability of the martingale $(Z_n/mathbf E[Z_n])_{n ge 0}$, properties of the martingale limit $W$ and a Yaglom type result stating convergence to an exponential limit distribution of the suitably normalized population size $Z_n$, conditioned on the event $Z_n >0$. The theorems generalize/unify diverse results from the literature and lead to a classification of the processes." @default.
- W2600552179 created "2017-04-07" @default.
- W2600552179 creator A5087298382 @default.
- W2600552179 date "2017-03-06" @default.
- W2600552179 modified "2023-09-27" @default.
- W2600552179 title "A unifying approach to branching processes in varying environments" @default.
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