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Proof of the Boltzmann-Sinai Ergodic Hypothesis for Typical Hard Disk Systems

Abstract

We consider the system of NN (2\ge2) hard disks of masses m1,...,mNm_1,...,m_N and radius rr in the flat unit torus T2\Bbb T^2. We prove the ergodicity (actually, the B-mixing property) of such systems for almost every selection (m1,...,mN;r)(m_1,...,m_N;r) of the outer geometric parameters.Comment: 58 page

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    Last time updated on 03/01/2020