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. © 2006 Elsevier Inc. All rights reserved.
Holomorphic Bogoliubov functionals for interacting particle systems in continuum
Kuna T.;
2006
Abstract
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. © 2006 Elsevier Inc. All rights reserved.File in questo prodotto:
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Kondratiev_Yu_Kuna_T_Oliveira_M_J_Holomorphic_functionals_for_interacting_particle_systems_in_the_continuum.pdf
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