Preprint in the OpenAI Math release
Mass and covering exponents for fixed-length honeycomb walks
OpenAI
Abstract
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.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
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