Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 237-01. Radial transfer estimates and polygon length laws for honeycomb walks
Manuscript map · lines 6935–6944
OpenAI@2026-10-07#rem:oai-p-237-01
Authors: OpenAI. Family 237.
Title: Radial transfer estimates and polygon length laws for honeycomb walks.
Abstract: We prove critical diameter-tail exponents −2 for unrooted honeycomb polygons and −2/3 for length-weighted polygons, together with a truncated second-length-moment bound of exponent 2/3. Consequently, polygons conditioned to have length at least n have diameter $n{}{3/4+o(1)}$ in probability under either weight.
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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