{"id":"openai-math/Critical-strip-crossing-mass-on-the-honeycomb-lattice","pdf":"https://github.com/openai/math/blob/main/preprints/Critical-strip-crossing-mass-on-the-honeycomb-lattice-September-26-2026/main.pdf","url":"https://github.com/openai/math/tree/main/preprints/Critical-strip-crossing-mass-on-the-honeycomb-lattice-September-26-2026","tags":["self-avoiding-walks","lattice-models","statistical-mechanics"],"score":0,"title":"Critical strip-crossing mass on the honeycomb lattice","domain":"Probability and statistical mechanics","family":"237","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.PR","summary":"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 .","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-26","reactions":{},"formalized":false,"family_title":"The three-quarter exponent for honeycomb self-avoiding walk"}