Hard Ball Systems Are Completely Hyperbolic
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چکیده
We consider the system of N (≥ 2) elastically colliding hard balls with masses m1, . . . , mN , radius r, moving uniformly in the flat torus T ν L = R /L · Z , ν ≥ 2. It is proved here that the relevant Lyapunov exponents of the flow do not vanish for almost every (N + 1)-tuple (m1, . . . , mN ;L) of the outer geometric parameters.
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تاریخ انتشار 1999