Inventiones mathematicae

, Volume 154, Issue 1, pp 123–178 | Cite as

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

  • Nándor Simányi


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


Geometric Parameter Hard Disk Disk System Ergodic Hypothesis Unit Torus 
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© Springer-Verlag 2003

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Alabama at BirminghamBirminghamUSA

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