On Gibbs quantum and classical particle systems with three-body forces

For equilibrium quantum and classical systems of particles interacting via ternary and pair (nonpositive) infinite-range potentials, a low activity convergent cluster expansion for their grand canonical reduced density matrices and correlation functions is constructed in the thermodynamic limit. Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 7, pp. 976–996, July, 2006.