G. I. Nazin, “Description of Gibbs random fields by the generating functional method”, TMF, 1980, Volume 42, Number 3,Pages <nobr>383

This article is cited in 3 papers

Description of Gibbs random fields by the generating functional method

G. I. Nazin

Abstract: It is proved that generating functionals of a large class of systems with binary interactions determine the probability measures on the configuration space of infinite system. In this class of measures the Bogoliubov equation for the generating functional and the Dobrushin–Lanford–Ruelle equation for the measure are equivalent to each other.

Received: 30.10.1978