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Depth profile of depth-weighted trees with bounded weights

math.PR · 2026-07-06 · accept · novelty 7.0

Under bounded weights satisfying Sn/n oℓ, the depth profile of depth-weighted recursive trees admits an Edgeworth-type scaling limit involving a random analytic function, and depth is a.s. asymptotic to e log n.

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  • Depth profile of depth-weighted trees with bounded weights math.PR · 2026-07-06 · accept · none · ref 52

    Under bounded weights satisfying Sn/n oℓ, the depth profile of depth-weighted recursive trees admits an Edgeworth-type scaling limit involving a random analytic function, and depth is a.s. asymptotic to e log n.