ERGODIC PROPERTIES OF NOWHERE DISPERSING BILLIARDS

被引：496

作者：

BUNIMOVICH, LA

机构：

[1] P. P. Shirshov Institute of Oceanology, Academy of Sciences USSR, Moscow

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1979年 / 65卷 / 03期

关键词：

D O I：

10.1007/BF01197884

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For billiards in two dimensional domains with boundaries containing only focusing and neutral regular components and satisfacting some geometrical conditions B-property is proved. Some examples of three and more dimensional domains with billiards obeying this property are also considered. © 1979 Springer-Verlag.

引用

页码：295 / 312

页数：18

共 28 条

[1] Anosov D., 1969, P STEKLOV I MATH, V90, P1
[2] Anosov D. V., 1967, T MAT I STEKLOVA, V90, P3
[3] Arnol'd V. I., 1963, USP MAT NAUK, V18, P91
[4] Arnol'd V.I., 1963, USPEHI MAT NAUK, V18, P85, DOI [DOI 10.1070/RM1963V018N06ABEH001143, 10.1070/RM1963v018n06ABEH001143]
[5] BENNETTIN G, 1977, NUMERICAL EXPT BILLI
[6] BIRKHOFF GD, 1927, AM MATH SOC C DUBL, V9
[7] BOLDRIGHINI C, 1977, BILLIARDS POLYGONS
[8] Brin M., 1974, IZV ACAD NAUK SSSR, V1, P177
[9] BRIN MJ, 1973, MATH USSR IZV, V7, P185
[10] Bunimovich L.A., 1974, FUNKTSIONAL ANAL PRI, V8, P73

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