NEW PROOF OF SINAIS FORMULA FOR THE ENTROPY OF HYPERBOLIC BILLIARD SYSTEMS - APPLICATION TO LORENTZ GASES AND BUNIMOVICH STADIUMS

被引:38
作者
CHERNOV, NI [1 ]
机构
[1] CONSOLIDATED INST NUCL RES,MOSCOW,USSR
关键词
D O I
10.1007/BF01085490
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
[No abstract available]
引用
收藏
页码:204 / 219
页数:16
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共 32 条
[1]  
ABRAMOV LM, 1959, DOKL AKAD NAUK SSSR+, V128, P873
[2]   NUMERICAL EXPERIMENTS ON FREE MOTION OF A POINT MASS MOVING IN A PLANE CONVEX REGION - STOCHASTIC TRANSITION AND ENTROPY [J].
BENETTIN, G ;
STRELCYN, JM .
PHYSICAL REVIEW A, 1978, 17 (02) :773-785
[3]   NUMERICAL STUDY OF A D-DIMENSIONAL PERIODIC LORENTZ GAS WITH UNIVERSAL PROPERTIES [J].
BOUCHAUD, JP ;
LEDOUSSAL, P .
JOURNAL OF STATISTICAL PHYSICS, 1985, 41 (1-2) :225-248
[4]   ERGODIC PROPERTIES OF NOWHERE DISPERSING BILLIARDS [J].
BUNIMOVICH, LA .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 65 (03) :295-312
[5]  
BUNIMOVICH LA, 1985, ZH EKSP TEOR FIZ+, V89, P1452
[6]  
BUNIMOVICH LA, 1974, MATH USSR SB, V95, P49
[7]  
CHERNOV NI, 1982, FUNKT ANAL PRIL, V16, P35
[8]  
ELYUTIN PV, 1986, DOKL AKAD NAUK, V291, P595
[9]  
Federer H., 1959, T AM MATH SOC, V93, P418, DOI [10.1090/S0002-9947-1959-0110078-1, DOI 10.1090/S0002-9947-1959-0110078-1]
[10]   UNIVERSAL BEHAVIOR OF SINAI BILLIARD SYSTEMS IN THE SMALL-SCATTERER LIMIT [J].
FRIEDMAN, B ;
OONO, Y ;
KUBO, I .
PHYSICAL REVIEW LETTERS, 1984, 52 (09) :709-712