|
|||||
|
|
Holomorphic Bogoliubov functionals for interacting particle systems in continuum |
|
| Authors: | Yuri G Kondratiev Tobias Kuna Maria João Oliveira |
| Institution: | a Fakultät für Mathematik, Universität Bielefeld, D 33615 Bielefeld, Germany b Forschungszentrum BiBoS, Universität Bielefeld, D 33615 Bielefeld, Germany c National University “Kyiv-Mohyla Academy”, Kiev, Ukraine d Center for Mathematical Sciences Research, Rutgers University, NJ, USA e Universidade Aberta, P 1269-001 Lisbon, Portugal f Centro de Matemática e Aplicações Fundamentais, University of Lisbon, P 1649-003 Lisbon, Portugal |
| 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. |
| Keywords: | Configuration spaces Generating functional Continuous system Gibbs measure Stochastic dynamics |
| 本文献已被 ScienceDirect 等数据库收录！ | |