Limit distributions of the number of vertices of a given out-degree in a random forest
The authors study a Galton-Watson forest with \(N\) trees and \(n\) nonrooted vertices (or particles). They obtain the limit properties of the number of vertices with a given number out-degree or particles with, say, \(r\) offsprings as \(N\) and \(n\) tend to infinity by different ways.
scientific article; zbMATH DE number 5144819