Hard ball systems are completely hyperbolic
Nandor Simányi, Domokos Szász
Abstract
We consider the system of N ( 2) elastically colliding hard balls with masses m1,..., mN, radius r, moving uniformly in the flat torus TLν= Rν/L · Zν, 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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