This article is cited in 1 paper

On the sizes of trees in a Galton – Watson forest in the intermediate case

Yu. L. Pavlov

Karelian Research Centre of the Russian Academy of Sciences, Petrozavodsk

Abstract: Galton–Watson forests formed by a homogeneous critical branching process starting with $N$ particles are considered. The total number of descendants of the initial particles until extinction is equal to $n$. Assume that the number of offspring of each particle has the distribution


Keywords: Galton–Watson forest, tree size, limit theorems.

UDC: 519.218.2+519.179.4

Received: 09.12.2024

DOI: 10.4213/dm1860