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On systems of particles with finite-range and/or repulsive interactions

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Abstract

In an arbitrary system of particles with central repulsive interactions, right and left velocities exist at each moment of time, including infinity. An arbitrary system of particles with finite-range interactions splits into independent bounded clusters. The number of collisions in Sinai's billiard is finite.

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Authors and Affiliations

  1. Institut des Hautes Etudes Scientifiques, F-91440, Bures-sur-Yvette, France

    L. N. Vaserstein

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  1. L. N. Vaserstein
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Communicated by D. Ruelle

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Vaserstein, L.N. On systems of particles with finite-range and/or repulsive interactions. Commun.Math. Phys. 69, 31–56 (1979). https://doi.org/10.1007/BF01941323

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  • DOI: https://doi.org/10.1007/BF01941323

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