Holomorphic Bogoliubov functionals for interacting particle systems in continuum

Kondratiev Y, Kuna T, Oliveira MJ (2006)
JOURNAL OF FUNCTIONAL ANALYSIS 238(2): 375-404.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor/in
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Abstract / Bemerkung
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. (C) 2006 Elsevier Inc. All rights reserved.
Stichworte
measure; configuration spaces; generating functional; continuous system; stochastic dynamics; Gibbs
Erscheinungsjahr
2006
Zeitschriftentitel
JOURNAL OF FUNCTIONAL ANALYSIS
Band
238
Ausgabe
2
Seite(n)
375-404
ISSN
0022-1236
Page URI
https://pub.uni-bielefeld.de/record/1597976

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Kondratiev Y, Kuna T, Oliveira MJ. Holomorphic Bogoliubov functionals for interacting particle systems in continuum. JOURNAL OF FUNCTIONAL ANALYSIS. 2006;238(2):375-404.
Kondratiev, Y., Kuna, T., & Oliveira, M. J. (2006). Holomorphic Bogoliubov functionals for interacting particle systems in continuum. JOURNAL OF FUNCTIONAL ANALYSIS, 238(2), 375-404. doi:10.1016/j.jfa.2006.06.001
Kondratiev, Y., Kuna, T., and Oliveira, M. J. (2006). Holomorphic Bogoliubov functionals for interacting particle systems in continuum. JOURNAL OF FUNCTIONAL ANALYSIS 238, 375-404.
Kondratiev, Y., Kuna, T., & Oliveira, M.J., 2006. Holomorphic Bogoliubov functionals for interacting particle systems in continuum. JOURNAL OF FUNCTIONAL ANALYSIS, 238(2), p 375-404.
Y. Kondratiev, T. Kuna, and M.J. Oliveira, “Holomorphic Bogoliubov functionals for interacting particle systems in continuum”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 238, 2006, pp. 375-404.
Kondratiev, Y., Kuna, T., Oliveira, M.J.: Holomorphic Bogoliubov functionals for interacting particle systems in continuum. JOURNAL OF FUNCTIONAL ANALYSIS. 238, 375-404 (2006).
Kondratiev, Yuri, Kuna, Tobias, and Oliveira, Maria Joao. “Holomorphic Bogoliubov functionals for interacting particle systems in continuum”. JOURNAL OF FUNCTIONAL ANALYSIS 238.2 (2006): 375-404.