N. N. Bogolyubov's functional equation and the Lie-Poisson-Vlasov symplectic structure associated with it
The authors show that Bogolyubov's functional equation is Hamiltonian relative to the Lie-Poisson bracket associated with a ``hierarchical'' Lie algebra which is used in the Hamiltonian description of the BBGKY equations.
scientific article; zbMATH DE number 4015770