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Annals of Mathematics, II. Series, Vol. 149, No. 1, pp. 35-96, 1999
EMIS ELibM Electronic Journals Annals of Mathematics, II. Series
Vol. 149, No. 1, pp. 35-96 (1999)

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Hard ball systems are completely hyperbolic

Nándor Simányi and Domokos Szász

Review 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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Metadata extracted from Zentralblatt MATH with kind permission