We consider the Curie–Weiss Potts model in zero external field under independent symmetric spin-flip dynamics. We investigate dynamical Gibbs–non-Gibbs transitions for a range of initial inverse temperatures \(\beta <3\), which covers the phase transition point \(\beta = 4\log 2\) (Ellis and Wang in Stoch Process Appl 35(1):59–79, 1990). We show that finitely many types of trajectories of bad empirical measures appear, depending on the parameter \(\beta \), with a possibility of re-entrance into the Gibbsian regime, of which we provide a full description.

中文翻译：

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$$\beta <3$$ β < 3 的 Curie-Weiss Potts 模型中的动态 Gibbs-non-Gibbs 跃迁

我们考虑独立对称自旋翻转动力学下零外场的居里-韦斯波茨模型。我们研究了一系列初始逆温度\(\beta <3\) 的动态吉布斯-非吉布斯跃迁，它涵盖了相变点\(\beta = 4\log 2\)（Ellis 和 Wang 在 Stoch Process Appl 35(1):59–79, 1990)。我们表明，根据参数\(\beta \)，出现了有限多种类型的不良经验测量轨迹，并有可能重新进入吉布斯体系，我们对此进行了完整描述。