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We consider the system of $N$ ($\ge2$) hard disks of masses $m_1,...,m_N$ andradius $r$ in the flat unit torus $\Bbb T^2$. 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.Comment: 58 page

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