Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 237-09. Polynomial vacuum representations and bridge mass for honeycomb walks

Manuscript map · lines 7015–7024

OpenAI@2026-10-07#rem:oai-p-237-09

Back to manuscript

Authors: OpenAI. Family 237.

Title: Polynomial vacuum representations and bridge mass for honeycomb walks.

Abstract: We prove that, under the all-length critical measure, a honeycomb bridge crossing a strip of h layers, with its initial port fixed and its terminal port free, has mean length $h{}{4/3+o(1)}$. We also obtain central visit probability $R{}{-2/3+o(1)}$ and mean length $R{}{4/3+o(1)}$ for macroscopic free-boundary chords in a regular hexagon.

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.

Nearby in this section