Kondratiev, Yuri G.Kuna, TobiasOliveira, Maria João2010-12-072010-12-072006Kondratiev, Yuri G.; Kuna, Tobias; Oliveira, Maria João - Holomorphic Bogoliubov functionals for interacting particle systems in continuum. "Journal of Functional Analysis" [Em linha]. ISSN 0022-1236. Vol. 238, Issue 2 (2006), p. 375-4040022-1236doi:10.1016/j.jfa.2006.06.001http://hdl.handle.net/10400.2/1689Combinatorial harmonic analysis techniques are used to develop new analytical methods for the study of interacting particle systems in continuum based on a Bogoliubov functional approach. Concrete applications of the methods are presented, namely, conditions for the existence of Bogoliubov functionals, a uniqueness result for Gibbs measures in the high temperature regime. We also propose a new approach to the study of non-equilibrium stochastic dynamics in terms of evolution equations for Bogoliubov functionals.engConfiguration spacesGenerating functionalContinuous systemGibbs measureStochastic dynamicsjournal article