, Volume 154, Issue 1, pp 123-178

Proof of the Boltzmann-Sinai ergodic hypothesis for typical hard disk systems

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Abstract

We consider the system of N (≥2) hard disks of masses m 1,...,m N and radius r in the flat unit torus 𝕋2. 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.

Dedicated to Ya. G. Sinai honoring his 65th birthday

Mathematics Subject Classification (2000)

37D50, 34D05