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The asymptotic contour process of a binary tree is a Brownian excursion - MaRDI portal

The asymptotic contour process of a binary tree is a Brownian excursion (Q1198554)

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scientific article; zbMATH DE number 90022
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English
The asymptotic contour process of a binary tree is a Brownian excursion
scientific article; zbMATH DE number 90022

    Statements

    The asymptotic contour process of a binary tree is a Brownian excursion (English)
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    16 January 1993
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    By appropriately normalizing the sequence of leaf heights of a random binary tree, an asymptotic Markov process is obtained which is identical in distribution to a Brownian excursion.
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    random binary tree
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    asymptotic Markov process
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    Brownian excursion
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