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Ю.Л. Павлов, Е.В. Хворостянская.
Сгорит ли дерево при пожаре в случайном лесе?
// Труды КарНЦ РАН. No 5. Сер. Математическое моделирование и информационные технологии. Вып. 3. 2012. C. 89-93
Yu.L. Pavlov, E.V. Khvorostyanskaya. Whether a tree will burn in a fire in random forest? // Transactions of Karelian Research Centre of Russian Academy of Science. No 5. Mathematical Modeling and Information Technologies. Vol. 3. 2012. Pp. 89-93
Keywords: random forest, random tree, forest fire model, density of fireproof vertices
We consider the set Fn,Nof all possible forests, consisting of N ≥ 2 ordered non-root trees and n labeled vertices. We specify the uniform distribution on Fn,N. When n/N → ∞ limit theorems were obtained for the number of fireproof vertices of one tree in a forest fire model on a random forest taken from Fn,N .
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Last modified: November 21, 2012