论文标题
混合速率的不可碰化变化的速率
Mixing rates for potentials of non-summable variations
论文作者
论文摘要
可以很好地理解由具有总结变化的电势定义的动力学的混合速率和相关性的衰减，但对不可舒服的变化知之甚少。在本文中，如果由具有正方形的总结变化定义的动力学，我们对这些数量的上限显示上限。我们将这些边界作为从不同历史开始的一对动力学之间的新块耦合不等式的推论。作为我们结果的应用，我们证明了一种新的弱不变性原则和Chernoff型不平等。
Mixing rates and decay of correlations for dynamics defined by potentials with summable variations are well understood, but little is known for non-summable variations. In this paper, we exhibit upper bounds for these quantities in the case of dynamics defined by potentials with square summable variations. We obtain these bounds as corollaries of a new block coupling inequality between pair of dynamics starting with different histories. As applications of our results, we prove a new weak invariance principle and a Chernoff-type inequality.
