... problem of the accuracy of symplectic inte-grators, and demand for this point to the literature, in particular to [BGi,BF1].But it is worthwhile to recall here that the main tool to understand ... belonging to R2m(ortoanopensubsetofit,ortoamanifold). In problems of molecular dynamics, for the specific heats, the newdegrees of freedom represent typically the centers of mass of the molecules ... general introduction to standard perturbativemethods, some applications to molecular dynamics. It also includes an ac-count of an approximation proposed by Jeans and by Landau and Teller,which...