Abstract

Abstract : The theory of branching processes treats the multiplication of objects subject to laws of chance. It has been applied to such phenomena as bacterial fission, cosmic ray showers, and neutron chain reactions. This report describes the probability law governing the descendants of a single object after many generations, if on the average an object has just one surviving child (in the language of reactors, this is the critical case). These results could be useful in the study of controlled nuclear reactions. (Author)

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