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Holomorphic Bogoliubov functionals for interacting particle systems in continuum

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Combinatorial 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.

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Configuration spaces Generating functional Continuous system Gibbs measure Stochastic dynamics

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Kondratiev, 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. 375-404

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