A THEOREM ON ERGODICITY OF 2-DIMENSIONAL HYPERBOLIC BILLIARDS

被引：35
作者：
BUNIMOVICH, LA
机构：
[1] Shirshov Institute of Oceanology of the Academy of Sciences, USSR, Moscow
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1990年 / 130卷 / 03期
关键词：
D O I：
10.1007/BF02096936
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Ergodicity of two-dimensional billiards which satisfy some general conditions is proved. This theorem is applied to one concrete class of billiards that contains, in particular, billiards in the "stadium". © 1990 Springer-Verlag.
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页码：599 / 621
页数：23
相关论文
共 19 条
[1]   BILLIARDS IN POLYGONS [J].
BOLDRIGHINI, C ;
KEANE, M ;
MARCHETTI, F .
ANNALS OF PROBABILITY, 1978, 6 (04) :532-540
[2]  
Bunimovich L.A., 1974, FUNKTSIONAL ANAL PRI, V8, P73
[3]  
BUNIMOVICH LA, 1985, IZV VUZ RADIOFIZ+, V28, P1601
[4]   ERGODIC PROPERTIES OF NOWHERE DISPERSING BILLIARDS [J].
BUNIMOVICH, LA .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 65 (03) :295-312
[5]  
BUNIMOVICH LA, 1974, MATH USSR SB, V95, P49
[6]  
CORNFELD IP, 1980, ERGODIC THEORY, P383
[7]   BILLIARDS AND BERNOULLI SCHEMES [J].
GALLAVOTTI, G ;
ORNSTEIN, DS .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1974, 38 (02) :83-101
[8]  
Hopf E., 1939, BER VERH SACHS AKAD, V91, P261
[9]  
Katok A., 1986, LECT NOTES MATH, V1222, P283
[10]   ERGODICITY OF BILLIARD FLOWS AND QUADRATIC-DIFFERENTIALS [J].
KERCKHOFF, S ;
MASUR, H ;
SMILLIE, J .
ANNALS OF MATHEMATICS, 1986, 124 (02) :293-311
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