Communications in Mathematical Physics

, Volume 69, Issue 1, pp 31–56 | Cite as

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

  • L. N. Vaserstein


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • L. N. Vaserstein
    • 1
  1. 1.Institut des Hautes Etudes ScientifiquesBures-sur-YvetteFrance

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