Flynn, PatrickOuyang, ZhimengPausader, BenoitWidmayer, Klaus Martin2021-08-092021-08-092021-08-09202310.1007/s42543-021-00041-xhttps://infoscience.epfl.ch/handle/20.500.14299/180484We construct (modified) scattering operators for the Vlasov–Poisson system in three dimensions, mapping small asymptotic dynamics as t→−∞ to asymptotic dynamics as t→+∞. The main novelty is the construction of modified wave operators, but we also obtain a new simple proof of modified scattering. Our analysis is guided by the Hamiltonian structure of the Vlasov–Poisson system. Via a pseudo-conformal inversion, we recast the question of asymptotic behavior in terms of local in time dynamics of a new equation with singular coefficients which is approximately integrated using a generating function.text::journal::journal article::research article