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However,
the LSA was firstly
introduced <ref> B. D. Lubachevsky and F. H. Stillinger, Geometric properties of random disk pack- ings, J. Statistical Physics 60 (1990), 561-583 </ref>
<ref> B.D. Lubachevsky, How to Simulate Billiards and Similar Systems
http://arxiv.org/PS_cache/cond-mat/pdf/0503/0503627v2.pdf </ref>
in the setting with periodic
boundary conditions
where
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