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Ergodic properties of subcritical multitype Galton-Watson processes

Probability 2023-02-22 v4

Abstract

We show the existance of the stationary distributions of subcritical multitype Galton-Watson processes without any conditions on the mean matrix of the offspring distributions. Some additional properties of the stationary distribution are also proven.

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@article{arxiv.1402.5539,
  title  = {Ergodic properties of subcritical multitype Galton-Watson processes},
  author = {Gábor Szűcs},
  journal= {arXiv preprint arXiv:1402.5539},
  year   = {2023}
}

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