Details

Autor(en) / Beteiligte

• Vatutin, V. A.
• Dyakonova, E. E.
• Topchii, V. A.

Titel

Critical Galton-Watson branching processes with a countable set of types and infinite second moments

Ist Teil von

• Sbornik. Mathematics, 2021-01, Vol.212 (1), p.1-24

Ort / Verlag

Providence: IOP Publishing

Erscheinungsjahr

2021

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Abstract We consider an indecomposable Galton-Watson branching process with a countable set of types. Assuming that the process is critical and may have infinite variance of the offspring sizes of some (or all) types of particles we describe the asymptotic behaviour of the survival probability of the process and establish a Yaglom-type conditional limit theorem for the infinite-dimensional vector of the number of particles of all types. Bibliography: 20 titles.