Small deviations for critical Galton-Watson processes with infinite variance
Probability
2025-05-16 v1
Abstract
We study the asymptotic behavior of small deviation probabilities for the critical Galton-Watson processes with infinite variance of the offspring sizes of particles and apply the obtained result to investigate the structure of a reduced critical Galton-Watson process.
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Cite
@article{arxiv.2505.10137,
title = {Small deviations for critical Galton-Watson processes with infinite variance},
author = {Vladimir Vatutin and Elena Dyakonova and Yakubdjan Khusanbaev},
journal= {arXiv preprint arXiv:2505.10137},
year = {2025}
}
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30 pages