Proof of the Boltzmann-Sinai ergodic hypothesis for typical hard disk systems
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- Simányi, N. Invent. math. (2003) 154: 123. doi:10.1007/s00222-003-0304-9
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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.