Self-avoiding polymer scaling reference

Family 237: The three-quarter exponent for honeycomb self-avoiding walk. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Lattice-polymer researchers can compare honeycomb self-avoiding walk diameter and covering observations to the claimed asymptotic exponents.

Applicability and commercial boundary

The walk law, lattice and sufficiently large fixed lengths are specific; n^(3/4+o(1)) does not give a finite polymer size prediction or an efficient sampler.

Initial business decision

Conditional research. Buyer budget, commercial novelty and profitability are unvalidated.

Next verification action

Quantify finite-size and sampling bias against an existing lattice benchmark.

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.

Main source

Radial transfer estimates and polygon length laws for honeycomb walks.