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.
Titolo: | Holomorphic Bogoliubov functionals for interacting particle systems in continuum | |
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Data di pubblicazione: | 2006 | |
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Handle: | http://hdl.handle.net/11697/175981 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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Kondratiev_Yu_Kuna_T_Oliveira_M_J_Holomorphic_functionals_for_interacting_particle_systems_in_the_continuum.pdf | Documento in Post-print | ![]() | Open Access Visualizza/Apri |
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