Dan Han, Stanislav Molchanov, Joseph Whitmeyer
Published 2018-12-13Version 1
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.
Limit theorems on counting measures for a branching random walk with immigration in a random environment
Genealogy of the extremal process of the branching random walk
A Simple Path to Biggins' Martingale Convergence for Branching Random Walk
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