论文标题
反射性投射台球和外部幽灵台球的示例
Examples of reflective projective billiards and outer ghost billiards
论文作者
论文摘要
在包含通常的台球的投射台球等级中，我们对IVRII的猜想进行了反调查，该猜想指出，在任何具有平稳边界的平面台球中，一组定期轨道的措施为零。反餐具是多边形，承认$ 2 $ - 票房的$ n $ - 周期轨道家族，$ n $是$ 3 $或任何偶数种植者的种植者。
In the class of projective billiards, which contains the usual billiards, we exhibit counter-examples to Ivrii's conjecture, which states that in any planar billiard with smooth boundary the set of periodic orbits has zero measure. The counter-examples are polygons admitting a $2$-parameters family of $n$-periodic orbits, with $n$ being either $3$ or any even number grower than $4$.
