Preprint in the OpenAI Math release

Critical strip-crossing mass on the honeycomb lattice

OpenAI

Abstract

At the critical weight of the regular honeycomb lattice, the total weight of self-avoiding paths crossing a strip of height N is comparable to N $^{- 1/4}$ . The first horizontal-displacement moment of return paths is comparable to N $^{3/4}$ .

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

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