IVRII'S CONJECTURE FOR SOME CASES IN OUTER AND SYMPLECTIC BILLIARDS

被引：0
作者：
Sharipova, Anastasiia [1 ]
机构：
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2025年 / 45卷 / 03期
关键词：
PERIODIC POINTS; SET;
D O I：
10.3934/dcds.2024117
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a proof for (2 n + 1 , n) and (2 n, n - 1)-periodic Ivrii's conjecture for planar outer billiards. We also give new simple geometric proofs for the 3 and 4-periodic cases for outer and symplectic billiards, and generalize for higher dimensions in case of symplectic billiards.
引用
收藏
页码：896 / 907
页数：12
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