03-84 Nandor Simanyi

Proof of the Boltzmann-Sinai Ergodic Hypothesis for Typical Hard Disk Systems (168K, AMS TeX) Mar 3, 03

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Abstract. We consider the system of $N$ ($\ge2$) hard disks of masses $m_1,\dots,m_N$ and radius $r$ in the flat unit torus $\Bbb T^2$. We prove the ergodicity (actually, the B-mixing property) of such systems for almost every selection $(m_1,\dots,m_N;r)$ of the outer geometric parameters.

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