Asymptotic Properties of Protected Nodes in Random Recursive Trees
نویسندگان
چکیده
منابع مشابه
Asymptotic Properties of Protected Nodes in Random Recursive Trees
We investigate protected nodes in random recursive trees. The exact mean of the number of such nodes is obtained by recurrence, and a linear asymptotic equivalent follows. A nonlinear recurrence for the variance shows that the variance grows linearly, too. It follows that the number of protected nodes in a random recursive tree, upon proper scaling, converges in probability to a constant.
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ژورنال
عنوان ژورنال: Journal of Applied Probability
سال: 2015
ISSN: 0021-9002,1475-6072
DOI: 10.1239/jap/1429282623