Hard ball systems are completely hyperbolic

• 成果类型: Article
• 署名作者: Simányi, N; Szász, D
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/121019
• 发表日期: 1999
• 页码: 35-96
• 关键词: semi-dispersing billiards; k-property; bernoulli

摘要

We consider the system of N (greater than or equal to 2) elastically colliding hard balls with masses m(1),..., m(N), radius r, moving uniformly in the flat torus T-L(V) = R-v/L. Z(v), v greater than or equal to 2. It is proved here that the relevant Lyapunov exponents of the flow do not vanish for almost every (N + 1)-tuple (m(1),..., m(N); L) of the outer geometric parameters.