Abstract:
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.
Keywords:
Galton–Watson branching process, reduced process, most recent common ancestor.
Citation:
V. A. Vatutin, E. E. Dyakonova, Ya. M. Khusanbaev, “Probabilities of small deviations of a critical Galton–Watson process with infinite variance of the number of the direct descendants of particles”, Sb. Math., 216:11 (2025)
\Bibitem{VatDyaKhu25}
\by V.~A.~Vatutin, E.~E.~Dyakonova, Ya.~M.~Khusanbaev
\paper Probabilities of small deviations of a critical Galton--Watson process with infinite variance of the number of the direct descendants of particles
\jour Sb. Math.
\yr 2025
\vol 216
\issue 11
\mathnet{http://mi.mathnet.ru/eng/sm10339}
Citation in format AMSBIB
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