论文标题
Mather $β$ - 椭圆和刚性的功能
Mather $β$-function for ellipses and rigidity
论文作者
论文摘要
本注释的第一部分的目的是获得旋转数字的明确公式和椭圆$β$ - 功能的明确公式。这是在台球问题的非标准生成功能的帮助下完成的。这样，推导特别简单。在第二部分中，我们讨论了Mather $β$功能的应用到刚度问题。
The goal of the first part of this note is to get an explicit formula for rotation number and Mather $β$-function for ellipse. This is done here with the help of non-standard generating function of billiard problem. In this way the derivation especially simple. In the second part we discuss application of Mather $β$-function to rigidity problem.
