Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 211-04. Canonical conformal limits of subcritical FK planar maps
Manuscript map · lines 6185–6194
OpenAI@2026-10-07#rem:oai-p-211-04
Authors: OpenAI. Family 211.
Title: Canonical conformal limits of subcritical FK planar maps.
Abstract: For every fixed $0{}lt q{}lt 4$, we prove joint convergence of spherical Fortuin–Kasteleyn planar maps in their flag-triangle uniformization to the corresponding unit-area Liouville quantum gravity sphere decorated by an independent conformal loop ensemble. The convergence includes the area measure, deterministically rescaled graph distances between all vertex pairs, and the full nested interface collection, with interfaces converging uniformly up to reparameterization.
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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