The Vlasov limit and its fluctuations for a system of particles which   interact by means of a wave field
  In two recent publications [Commun. PDE, vol.22, p.307--335 (1997), Commun. Math. Phys., vol.203, p.1--19 (1999)], A. Komech, M. Kunze and H. Spohn studied the joint dynamics of a classical point particle and a wave type generalization of the Newtonian gravity potential, coupled in a regularized way. In the present paper the many-body dynamics of this model is studied. The Vlasov continuum limit is obtained in form equivalent to a weak law of large numbers. We also establish a central limit theorem for the fluctuations around this limit. 
Yves Elskens, Michael K.-H. Kiessling, and Valeria Ricci (Marseille,   Piscataway, Palermo)