Decomposition of supercritical linear-fractional branching processes

Serik Sagitov; Altynay Shaimerdenova

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arXiv · 1211.4613

Decomposition of supercritical linear-fractional branching processes

Serik Sagitov·Altynay Shaimerdenova

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Abstract

It is well known that a supercritical single-type Bienyamé-Galton-Watson process can be viewed as a decomposable branching process formed by two subtypes of particles: those having infinite line of descent and those who have finite number of descendants. In this paper we analyze such a decomposition for the linear-fractional Bienyamé-Galton-Watson processes with countably many types.

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Serik Sagitov, Altynay Shaimerdenova. 2012-11-19. Decomposition of supercritical linear-fractional branching processes. https://arxiv.org/abs/1211.4613

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