Time evolution of infinite anharmonic systems

@article{Lanford1977TimeEO,
  title={Time evolution of infinite anharmonic systems},
  author={Oscar E. Lanford and Joel L. Lebowitz and Elliott H. Lieb},
  journal={Journal of Statistical Physics},
  year={1977},
  volume={16},
  pages={453-461}
}
We prove the existence of a time evolution for infinite anharmonic crystals for a large class of initial configurations. When there are strong forces tying particles to their equilibrium positions then the class of permissible initial conditions can be specified explicitly; otherwise it can only be shown to have full measure with respect to the appropriate Gibbs state. Uniqueness of the time evolution is also proven under suitable assumptions on the solutions of the equations of motion. 
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