Preprint

Small deviations for critical Galton-Watson processes with infinite variance

Vladimir VatutinSteklov Mathematical InstituteElena DyakonovaUniversity St . Tashkent 100174 , UzbekistanYa. M. KhusanbaevV.I. Romanovskiy Institute of Mathematics , Uzbekistan Academy of Sciences , Olmazor district ,

2025en

Ochiq kirishYashil

Litsenziya: cc-by

Manbada oʻqisharxiv.org(yangi oynada ochiladi)
PDFarxiv.org(yangi oynada ochiladi)

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Annotatsiya

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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Identifikatorlar

DOI: 10.48550/arxiv.2505.10137

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