{"id":"openai-math/Mass-and-covering-exponents-for-fixed-length-honeycomb-walks","pdf":"https://github.com/openai/math/blob/main/preprints/Mass-and-covering-exponents-for-fixed-length-honeycomb-walks-September-26-2026/main.pdf","url":"https://github.com/openai/math/tree/main/preprints/Mass-and-covering-exponents-for-fixed-length-honeycomb-walks-September-26-2026","tags":["self-avoiding-walks","honeycomb-lattice","probability","scaling-exponents"],"score":0,"title":"Mass and covering exponents for fixed-length honeycomb walks","domain":"Probability and statistical mechanics","family":"237","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.PR","summary":"For uniform self-avoiding walks of every sufficiently large integer length on the honeycomb lattice, we prove diameter exponent 3/4 and simultaneous local-mass and covering exponent 4/3, with arbitrary positive exponent slack and arbitrary polynomial failure probability.","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"}