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Inversion Number and Collisions in Some Billiard Systems

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Abstract

With help of inversion numbers, we obtain sharp upper bounds of the number of collisions in some special billiard systems.

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Lizhou Chen

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  1. Lizhou Chen
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Correspondence to Lizhou Chen.

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Chen, L. Inversion Number and Collisions in Some Billiard Systems. J Stat Phys 137, 331 (2009). https://doi.org/10.1007/s10955-009-9846-6

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  • DOI: https://doi.org/10.1007/s10955-009-9846-6

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