Hard ball systems are completely hyperbolic
动力系统
2010-08-12 v2
摘要
We consider the system of N (\ge 2) elastically colliding hard balls with masses m_1,..., m_N, radius r, moving uniformly in the flat torus T_L^{\nu}= R^\nu/L \cdot Z^\nu, \nu \ge 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.
引用
@article{arxiv.math/9704229,
title = {Hard ball systems are completely hyperbolic},
author = {Nandor Simányi and Domokos Szász},
journal= {arXiv preprint arXiv:math/9704229},
year = {2010}
}
备注
62 pages, published version