Markov partitions for two-dimensional hyperbolic billiards
Markov partitions for two-dimensional hyperbolic billiards
复制标题
二维双曲台球的马尔可夫分区
DOI：
10.1070/rm1990v045n03abeh002355
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发表时间：
1990
影响因子：
0.9
通讯作者：
N. Chernov
中科院分区：
文献类型：
--
作者：
L. Bunimovich;Y. Sinai;N. Chernov
第一节.基本定义和结果声明§ 2。二维散射台球的一般性质§ 3.前马尔可夫划分的构造§ 4.无限地平线的情况§ 5。从前马尔可夫到马尔可夫划分的过渡§ 6。具有双曲线行为的非散射台球§ 7。估计周期点的数量§ 8。Domains with smooth boundary参考文献
CONTENTS § 1. Fundamental definitions and statements of results § 2. General properties of two-dimensional scattering billiards § 3. Construction of a pre-Markov partition § 4. The case of infinite horizon § 5. Transition from a pre-Markov to a Markov partition § 6. Non-scattering billiards with hyperbolic behaviour § 7. Estimates for the number of periodic points § 8. Domains with smooth boundary References