, Volume 154, Issue 1, pp 123-178
Date: 16 May 2003

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

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

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