English

Non-ergodicity for the noisy majority vote process on trees

Probability 2025-01-28 v1

Abstract

We consider the noisy majority vote process on infinite regular trees with degree d3d\geq 3, and we prove the non-ergodicity, i.e., there exist multiple equilibrium measures. Our work extends a result of Bramson and Gray (2021) for d5d\geq 5.

Cite

@article{arxiv.2501.16202,
  title  = {Non-ergodicity for the noisy majority vote process on trees},
  author = {Jian Ding and Fenglin Huang},
  journal= {arXiv preprint arXiv:2501.16202},
  year   = {2025}
}
R2 v1 2026-06-28T21:20:00.302Z