We show that certain billiard flows on planar billiard tables with horns can be modeled as suspension flows over Young towers (Ann. Math. 147:585–650, 1998) with exponential tails. This implies exponential decay of correlations for the billiard map. Because the height function of the suspension flow itself is polynomial when the horns are Torricelli-like trumpets, one can derive Limit Laws for the billiard flow, including Stable Limits if the parameter of the Torricelli trumpet is chosen in (1, 2).

中文翻译：

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在有角平面上的新浪ĭ台球上

我们表明，带有角的平面台球桌上的某些台球流可以建模为具有指数尾部的Young塔上的悬浮流（Ann。Math。147：585–650，1998）。这意味着台球图的相关性呈指数衰减。因为当号角是Torricelli型喇叭时，悬浮流本身的高度函数是多项式，所以如果在（1、2）中选择Torricelli小号的参数，则可以导出台球流动的极限定律，包括稳定极限。