The harmonic descent chain decays to its limit as n^{-γ*+o(1)} with γ* ≈ 1.567, and this yields CLTs for fringe subtree counts and total length of critical beta-splitting trees.
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Asymptotics for the harmonic descent chain and applications to critical beta-splitting trees
The harmonic descent chain decays to its limit as n^{-γ*+o(1)} with γ* ≈ 1.567, and this yields CLTs for fringe subtree counts and total length of critical beta-splitting trees.