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Double-dimer loop scaling research suite
Family 226: The double-dimer loop ensemble converges to CLE<sub>4</sub>. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Random-geometry researchers can compare full macroscopic loop ensembles rather than only loop observables.
Applicability and commercial boundary
The half-plane Temperleyan lattice and nested CLE4 limit do not apply to arbitrary matching graphs or yield a production sampling acceleration.
Initial business decision
Research infrastructure. Buyer budget, commercial novelty and profitability are unvalidated.
Next verification action
Identify a finite half-plane approximation and its sampling baseline.
Evidence scope
The catalog statement was individually reviewed. This record does not imply a manuscript proof review or formal-scope comparison. No independent Lean check was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.