Quasi-limiting behaviour of the sub-critical Multitype Bisexual Galton-Watson Branching Process
Probability
2024-09-06 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2406.19559,
title = {Quasi-limiting behaviour of the sub-critical Multitype Bisexual Galton-Watson Branching Process},
author = {Coralie Fritsch and Denis Villemonais and Nicolás Zalduendo},
journal= {arXiv preprint arXiv:2406.19559},
year = {2024}
}