Transactions of KarRC RAS :: Scientific publications
Transactions of KarRC RAS :: Scientific publications

Transactions of KarRC RAS :: Scientific publications
Karelian Research Centre of RAS
ISSN (print): 1997-3217
ISSN (online): 2312-4504
Transactions of KarRC RAS :: Scientific publications
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Transactions of KarRC RAS :: Scientific publications

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SCIENTIFIC PUBLICATIONS
Е.В. Хворостянская.
О предельном распределении максимального объема дерева в лесе Гальтона - Ватсона со степенным распределением
E.V. Khvorostyanskaya. On the limit distribution of the maximum tree size in a Galton – Watson forest with a power-law distribution // Transactions of Karelian Research Centre of Russian Academy of Science. No 6. Mathematical Modeling and Information Technologies. 2021. P. 64–76
Keywords: Galton – Watson forest; maximum tree size; limit distribution
We consider a critical Galton – Watson branching process starting with N particles where the number of offsprings has the distribution pk=(k+1)-(k+2), k = 0, 1, 2, . . . The limit distribution of the maximum tree size is obtained for the corresponding Galton – Watson forest with N trees and n non-root vertices as N, n → ∞, such that n/N → 0 or n/N → ∞, n/Nτ → 0.
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  Last modified: April 11, 2023