for Typical Hard Ball Systems
نویسنده
چکیده
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 case ν = 2. The method of that proof was primarily dynamical-geometric, whereas the present approach is inherently algebraic. Primary subject classification: 37D50 Secondary subject classification: 34D05
منابع مشابه
Proof of the Ergodic Hypothesis 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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