05-348 Nandor Simanyi

The Boltzmann-Sinai Ergodic Hypothesis in Full Generality (Without Exceptional Models) (420K, PDF) Oct 2, 05

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Abstract. We consider the system of $N$ ($\ge2$) elastically colliding hard balls of masses $m_1,\dots,m_N$ and radius $r$ on the flat unit torus $\Bbb T^\nu$, $\nu\ge2$. We prove the so called Boltzmann-Sinai Ergodic Hypothesis, i. e. the full hyperbolicity and ergodicity of such systems for every selection $(m_1,\dots,m_N;r)$ of the external geometric parameters, without exceptional values.

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