Holomorphic Bogoliubov functionals for interacting particle systems in continuum

@inproceedings{Kondratiev2006HolomorphicBF,
  title={Holomorphic Bogoliubov functionals for interacting particle systems in continuum},
  author={Yuri Kondratiev and Tobias Kuna and Maria Jo{\~a}o de Oliveira},
  year={2006}
}
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… CONTINUE READING

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