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.
The studies were funded from the federal budget through state assignment to the Karelian Research Centre RAS (Institute of Applied Mathematical Research KarRC RAS).
Received: 09.12.2024
Published: 26.02.2025
Document Type:
Article
UDC:519.218.2+519.179.4
Language: Russian
Citation:
Yu. L. Pavlov, “On the sizes of trees in a Galton – Watson forest in the intermediate case”, Diskr. Mat., 37:1 (2025), 39–51
\Bibitem{Pav25}
\by Yu.~L.~Pavlov
\paper On the sizes of trees in a Galton\,--\,Watson forest in the intermediate case
\jour Diskr. Mat.
\yr 2025
\vol 37
\issue 1
\pages 39--51
\mathnet{http://mi.mathnet.ru/dm1860}
\crossref{https://doi.org/10.4213/dm1860}
Linking options:
https://www.mathnet.ru/eng/dm1860
https://doi.org/10.4213/dm1860
https://www.mathnet.ru/eng/dm/v37/i1/p39
This publication is cited in the following 1 articles:
Citation in format AMSBIB
Contact us: