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Population Processes with Immigration

Published 13 Dec 2018 in math.PR | (1812.05515v1)

Abstract: 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 $Zd$ with immigration and prove the existence of the limits for the first two correlation functions.

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