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Annals of Mathematics, II. SeriesVol. 149, No. 1, pp. 35-96 (1999) |
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Hard ball systems are completely hyperbolicNándor Simányi and Domokos SzászReview from Zentralblatt MATH: The authors consider the system of $N(\ge 2)$ elastically colliding hard balls with masses $m_1, \dots,m_N$, radius $r$, moving uniformly in the flat torus $\bbfT^\nu_L= \bbfR^\nu/L\cdot\bbfZ^\nu$, $\nu\ge 2$. It is proved here that the relevant Lyapunov exponents of the flow do not vanish for almost every $(N+1)$-tuple $(m_1, \dots, m_N;L)$ of the outer geometric parameters. Reviewed by Messoud Efendiev Keywords: elastically colliding hard balls; uniform motion; Lyapunov exponents Classification (MSC2000): 37A99 Full text of the article:
Electronic fulltext finalized on: 18 Aug 2001. This page was last modified: 21 Jan 2002.
© 2001 Johns Hopkins University Press
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