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Proof of the Boltzmann-Sinai Ergodic Hypothesis for Typical Hard Disk Systems

Nandor Simanyi
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Abstract

We consider the system of $N$ ($\ge2$) hard disks of masses $m_1,...,m_N$ 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 $(m_1,...,m_N;r)$ of the outer geometric parameters.

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Nandor Simanyi. 2000-08-31. Proof of the Boltzmann-Sinai Ergodic Hypothesis for Typical Hard Disk Systems. https://doi.org/10.1007/s00222-003-0304-9

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