Non-ergodicity for the noisy majority vote process on trees

Published 27 Jan 2025 in math.PR | (2501.16202v1)

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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