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Uniform attachment with freezing: Scaling limits — Lean formalization

Igor Kortchemski

Palomar Registrypalomar/PALOMAR-2026-10-30-000012Oct 30, 2026math.PRscore 0

A Lean 4 and Mathlib formalization of arXiv:2308.00484, "Uniform attachment with freezing: Scaling limits", published in Ann. Inst. H. Poincaré Probab. Statist. 61(4) 2679–2708 (2025). It proves the Introduction's height theorem, the subcritical Gromov–Hausdorff–Prokhorov (GHP) limit to a measured segment, the critical GHP limit to a random compact measured real tree T(f) together with its geometric properties (leaves carry the mass; binary if and only if the reciprocal-square integral diverges; root condensation otherwise), and the supercritical distance-matrix limit in its corrected…

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