Mixing of the Noisy Voter Model

preprint2014arXivOpen access

Abstract

We prove that the noisy voter model mixes extremely fast -- in time of O(log⁡n)O(\log n) on any graph with nn vertices -- for arbitrarily small values of the `noise parameter'. We then explain why, as a result, this is an example of a spin system that is always in the `high-temperature regime'.

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