Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 211-07. Brownian continuum random tree limits of finite Fortuin–Kasteleyn maps above four
Manuscript map · lines 6215–6224
OpenAI@2026-10-07#rem:oai-p-211-07
Authors: OpenAI. Family 211.
Title: Brownian continuum random tree limits of finite Fortuin–Kasteleyn maps above four.
Abstract: We prove the finite-volume continuum-random-tree prediction for critical Fortuin–Kasteleyn planar maps at every fixed q > 4. After rescaling graph distances by a constant times n−1/2, an n-edge map with normalized degree measure converges to the Brownian continuum random tree in the Gromov–Hausdorff–Prokhorov topology. The convergence holds through all positive integer sizes.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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