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

Abstract

We consider the system of $N$ ($\ge 2$) hard disks of masses $m_1,...,m_N$ and radius $r$ in the flat unit torus ${\mathbb{T}}^2$. 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.

58 pages

References in corpus (2)

• Hard ball systems are completely hyperbolic
• The Complete Hyperbolicity of Cylindric Billiards

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