A review of the Galton and Watson mathematical model that applies probability theory to the effects of chance on the development of populations, followed by a systematic development of branching processes (one of the generalizations from the Galton-Watson model), and a brief description of some of the important applications. The author develops the model for the neutron (one-group theory, isotropic case), for the Markov (continuous time) age-dependent branching processes, and for the branching processes in the theory of cosmic rays. Applications include transport and multiplication of neutrons and electron-photon cascades.
Harris, Theodore Edward, The Theory of Branching Process. Santa Monica, CA: RAND Corporation, 1964. https://www.rand.org/pubs/reports/R381.html. Also available in print form.
Harris, Theodore Edward, The Theory of Branching Process, RAND Corporation, R-381-PR, 1964. As of February 1, 2023: https://www.rand.org/pubs/reports/R381.html