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- W4285707206 abstract "We investigate subcritical Galton-Watson branching processes with immigration in a random environment. Using Goldie's implicit renewal theory we show that under general Cram'er condition the stationary distribution has a power law tail. We determine the tail process of the stationary Markov chain, prove point process convergence, and convergence of the partial sums. The original motivation comes from Kesten, Kozlov and Spitzer seminal 1975 paper, which connects a random walk in a random environment model to a special Galton-Watson process with immigration in a random environment. We obtain new results even in this very special setting." @default.
- W4285707206 created "2022-07-18" @default.
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- W4285707206 date "2020-02-03" @default.
- W4285707206 modified "2023-09-30" @default.
- W4285707206 title "Limit Theorems for Branching Processes with Immigration in a Random Environment" @default.
- W4285707206 doi "https://doi.org/10.48550/arxiv.2002.00634" @default.
- W4285707206 hasPublicationYear "2020" @default.
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