Quasi-limiting behaviour of the sub-critical Multitype Bisexual Galton-Watson Branching Process - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2024

Quasi-limiting behaviour of the sub-critical Multitype Bisexual Galton-Watson Branching Process

Comportement quasi-limite du processus de branchement bi-sexué multi-type de Galton-Watson sous-critique

Résumé

We investigate the quasi-limiting behaviour of bisexual subcritical Galton-Watson branching processes. While classical subcritical Galton-Watson processes have been extensively analyzed, bisexual Galton-Watson branching processes present unique difficulties because of the lack of the branching property. To prove the existence of and convergence to one or several quasi-stationary distributions, we leverage on recent developments linking bisexual Galton-Watson branching processes extinction to the eigenvalue of a concave operator.
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Dates et versions

hal-04628438 , version 1 (28-06-2024)
hal-04628438 , version 2 (06-09-2024)

Identifiants

  • HAL Id : hal-04628438 , version 2

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Coralie Fritsch, Denis Villemonais, Nicolás Zalduendo. Quasi-limiting behaviour of the sub-critical Multitype Bisexual Galton-Watson Branching Process. 2024. ⟨hal-04628438v2⟩
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