Investigates small deviation probabilities in a critical Galton-Watson process, suggesting insights into its structure.
We study the asymptotic behaviour of small deviation probabilities for a critical Galton-Watson process with infinite variance of the offspring sizes of particles and apply the result obtained to investigating the structure of a reduced critical Galton-Watson process under the assumption that the original process has a small deviation. Bibliography: 24 titles.
No takes yet. Share an insight, caveat, or question.
Vatutin et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: