Algebro-geometric methods for hard ball systems
نویسندگان
چکیده
منابع مشابه
for Typical Hard Ball Systems
We consider the system of N (≥ 2) hard balls with masses m1, . . . , mN and radius r in the flat torus TL = R /L · Z of size L, ν ≥ 3. We prove the ergodicity (actually, the Bernoulli mixing property) of such systems for almost every selection (m1, . . . , mN ; L) of the outer geometric parameters. This theorem complements my earlier result that proved the same, almost sure ergodicity for the c...
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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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We consider the system of N (≥ 2) elastically colliding hard balls with masses m1, . . . , mN , radius r, moving uniformly in the flat torus TL = 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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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2008
ISSN: 1078-0947
DOI: 10.3934/dcds.2008.22.427