对具有慢混合率的奇异动力系统的研究方法是近几年才发展起来的,但应用到具体模型上还比较困难.研究了一组新型的半发散billiards系统.证明该系统碰撞映射的相关函数的收敛速率的上界为(lnn)^3/n^2,其中n表示离散时间.
Mathematical methods (or the analysis of singular systems with slow mixing rates were just developed recently and still difficult to be applied to realistic models. A class of mixing billiards where the correlation function of the collision map decays as (ln n)^3/n^2 (here n denotes the discrete time) was described here.