Non-ergodicity for the noisy majority vote process on trees

Jian Ding; Fenglin Huang

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arXiv · 2501.16202

Non-ergodicity for the noisy majority vote process on trees

Jian Ding·Fenglin Huang

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Abstract

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

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Jian Ding, Fenglin Huang. 2025-01-27. Non-ergodicity for the noisy majority vote process on trees. https://arxiv.org/abs/2501.16202

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