Proves that the Kirkwood closure process exists when the pair potential is stable and regular, and is Gibbs with a Kirkwood-Salsburg kernel when locally stable.
Ruelle: Statistical Mechanics: Rigorous Results, W.A
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The Kirkwood closure point process: A solution of the Kirkwood-Salsburg equations for negative activities
Proves that the Kirkwood closure process exists when the pair potential is stable and regular, and is Gibbs with a Kirkwood-Salsburg kernel when locally stable.