关于一般严格凸台球桌的标记长度谱
动力系统
2018-02-21 v2 辛几何
摘要
在本文中，我们证明对于一个一般严格凸域，可以从该域的（极大）标记长度谱中恢复对应于诱导台球映射的Aubry-Mather周期轨道的特征数据。
引用
@article{arxiv.1603.08838,
title = {On the Marked Length Spectrums of Generic Strictly Convex Billiard Tables},
author = {Guan Huang and Vadim Kaloshin and Alfonso Sorrentino},
journal= {arXiv preprint arXiv:1603.08838},
year = {2018}
}
备注
25 pages, 3 figures. (This version has been revised in the light of the referee's report). arXiv admin note: text overlap with arXiv:1309.1008