论文标题
凸台地图的光谱不变：Mather beta功能的观点
Spectral invariants of convex billiard maps:a viewpoint of Mather's beta function
论文作者
论文摘要
对于严格凸出边界的台球图，我们通过建设性生成功能列表获得Birkhoff的正常形式。基于此，我们获得了beta函数（本地）的明确公式，并探索了台球映射的光谱不变和beta函数之间的关系。
For strictly convex billiard maps of smooth boundaries, we get a Birkhoff normal form via a list of constructive generating functions. Based on this, we get an explicit formula for the beta function (locally), and explored the relation between the spectral invariants of the billiard maps and the beta function.
