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The average height of the second highest leaf of a planted plane tree - MaRDI portal

The average height of the second highest leaf of a planted plane tree (Q1058519)

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scientific article; zbMATH DE number 3900779
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English
The average height of the second highest leaf of a planted plane tree
scientific article; zbMATH DE number 3900779

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    The average height of the second highest leaf of a planted plane tree (English)
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    1984
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    The author establishes that for all equally likely trees the average 2- height is given by \((\pi n)^{1/2}-(7/6)+O(n^{-+\epsilon})\), for \(\epsilon\) \(\to 0\) and \(n\to \infty\) (the 2-height of a planted plane tree is the distance between the root and the second highest leaf).
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    2-height
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    planted plane tree
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