  We prove nonlinear Landau damping in optimal weighted Gevrey-3 spaces for
solutions of the confined Vlasov-Poisson system on $\T^d\times\R^d$ which are
small perturbations of homogeneous Penrose-stable equilibria.
  We also prove the existence of nonlinear scattering operators associated to
the confined Vlasov-Poisson evolution, as well as suitable injectivity
properties and Lipschitz estimates (also in weighted Gevrey-3 spaces) on these
operators.
  Our results give definitive answers to two well-known open problems in the
field, both of them stated in the recent review of Bedrossian [4, Section 6].
