THE K-PROPERTY OF 3 BILLIARD BALLS
成果类型：
Article
署名作者：
KRAMLI, A; SIMANYI, N; SZASZ, D
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.2307/2944325
发表日期：
1991
页码：
37-72
关键词：
摘要：
Sinai's strengthened version of the ergodic hypothesis is proved for three billiard balls (i.e., three elastic hard balls) on the nu-dimensional torus: On connected components of the submanifold of the phase space specified by the trivial conservation laws of the energy and of the trajectory of the center of mass, the system is a K-flow. To cope with the difficulty that in the isomorphic one-particle-billiard system the scatterers are only convex, in contrast to the case of two billiard balls when they are strictly convex, geometric-algebraic, ergodic-theoretic and topological methods are elaborated.