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.С. Петрова.
О предельном поведении числа деревьев заданного объема в случайном непомеченном некорневом лесе
// Труды КарНЦ РАН. No 1. Сер. Математическое моделирование и информационные технологии. Вып. 4. 2013. C. 79-85
E.S. Petrova. On the limit behaviour of number of trees of a given size in a random unlabelled unrooted forest // Transactions of Karelian Research Centre of Russian Academy of Science. No 1. Mathematical Modeling and Information Technologies. Vol. 4. 2013. Pp. 79-85
Keywords: random forests, number of trees of a given size, generalized allocation scheme, limit theorems.
We consider the set FN,n of all random forests consisting of N ordered unrooted trees and n unlabelled vertices with uniform probability distribution on this set. We prove limit theorems for the number of trees of a given size as N, n → ∞ so that n/N > 2.

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  Last modified: July 7, 2013