Holomorphic Bogoliubov functionals for interacting particle systems in continuum

Kondratiev, Yuri G.; Kuna, Tobias; Oliveira, Maria João

http://hdl.handle.net/10400.2/1689

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
JFA2006.pdf		250.28 KB	Adobe PDF	Download

Send Feedback

Authors

Kondratiev, Yuri G.

Kuna, Tobias

Oliveira, Maria João

Abstract(s)

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.

Keywords

Configuration spaces Generating functional Continuous system Gibbs measure Stochastic dynamics

URI

http://hdl.handle.net/10400.2/1689

Citation

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