论文标题
在制度beta <3中的Curie-Weiss Potts模型中的动态吉布斯 - 非吉布斯转变
Dynamical Gibbs-non-Gibbs transitions in the Curie-Weiss Potts model in the regime beta<3
论文作者
论文摘要
我们考虑在独立的对称自旋叉动力学下,在零外场中的居里·韦斯·波特(Curie-Weiss Potts)模型。我们研究了一系列初始反向温度β<3的动力学吉布斯 - 非gibbs转变,该范围涵盖了相变点beta = 4 log 2 [8]。我们表明,有限多种类型的不良经验措施轨迹会根据参数beta出现,并可能重新进入吉布斯政权,我们提供了完整的描述。
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 [8]. 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.