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arxiv: 1812.05515 · v1 · pith:NBLYKC2Nnew · submitted 2018-12-13 · 🧮 math.PR

Population Processes with Immigration

classification 🧮 math.PR
keywords immigrationprocessesrandomanalysisbranchingcompletecontainscorrelation
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The paper contains the complete analysis of the Galton-Watson models with immigration, including the processes in the random environment, stationary or non-stationary ones. We also study the branching random walk on $Z^d$ with immigration and prove the existence of the limits for the first two correlation functions.

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