非对称柠檬台球的双曲性
Hyperbolicity of asymmetric lemon billiards
摘要：
在[CMZZ]中引入了不对称柠檬台球，其中台球桌$Q(r,b,R)$是两个半径分别为$r\le R$的圆盘的交点，$b$测量两个中心之间的距离。证明了当弧$Γ_r$是优弧且$R$较大时，非对称柠檬台球是双曲的.在本文中，我们证明了这个猜想充分大的$R$。
英文摘要：
Asymmetric lemon billiards was introduced in [CMZZ], where the billiard table $Q(r,b,R)$ is the intersection of two round disks with radii $r\le R$, respectively, and $b$ measures the distance between the two centers. It is conjectured [BZZ] that the asymmetric lemon billiards is hyperbolic when the arc $Γ_r$ is a major arc and $R$ is large. In this paper we prove this conjecture for sufficiently large $R$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
