Probabilities of small deviations of a critical Galton–Watson process with infinite variance of the number of the direct descendants of particles

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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 investigate the structure of a reduced critical Galton-Watson process.

Sobre autores

Vladimir Vatutin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Email: vatutin@mi-ras.ru
Scopus Author ID: 6701377350
Researcher ID: Q-4558-2016
Doctor of physico-mathematical sciences, Professor

Elena Dyakonova

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Email: elena@mi-ras.ru
Scopus Author ID: 6507996691
Researcher ID: Q-6278-2016
Doctor of physico-mathematical sciences, Head Scientist Researcher

Yakubdzhan Khusanbaev

V. I. Romanovskiy Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan

Email: yakubjank@mail.ru

Bibliografia

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Declaração de direitos autorais © Vatutin V.A., Dyakonova E.E., Khusanbaev Y.M., 2025

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