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arxiv: 2501.16202 · v1 · pith:S6N7TAGJ · submitted 2025-01-27 · math.PR

Non-ergodicity for the noisy majority vote process on trees

Jian Ding , Fenglin Huang This is my paper

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classification math.PR
keywords majoritynoisynon-ergodicityprocesstreesvotebramsonconsider
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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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