Transactions of KarRC RAS :: Scientific publications

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 F_n,Nof all possible forests, consisting of N ≥ 2 ordered non-root trees and n labeled vertices. We specify the uniform distribution on F_n,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 F_n,N .