Also the convergence of stationarypoints of the action is established. It is shown that the corresponding discrete action functionalsGamma-converge to a continuum action functional acting on probabil-ity measures of particle trajectories. We consider Lagrangian systems in the limit of infinitely many par-ticles. Institut f¨ur Mathematik,Universit¨at Augsburg86135 Augsburg, Germany J a n On the infinite particle limit in Lagrangian dynamics andconvergence of optimal transportation meshfree methods
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