Inventiones mathematicae

, Volume 154, Issue 1, pp 123–178

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

Article

DOI: 10.1007/s00222-003-0304-9

Cite this article as:
Simányi, N. Invent. math. (2003) 154: 123. doi:10.1007/s00222-003-0304-9

Abstract

We consider the system of N (≥2) hard disks of masses m1,...,mN 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 (m1,...,mN;r) of the outer geometric parameters.

Copyright information

© Springer-Verlag 2003

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Alabama at BirminghamBirminghamUSA