Non-equilibrium stochastic dynamics of continuous systems and Bogoliubov generating functionals
Yuri G. Kondratiev, Tobias Kuna, and Maria Joao Oliveira
TL;DR
This paper introduces new functional analysis methods using Bogoliubov functionals, applying them to study the non-equilibrium stochastic dynamics of continuous systems with combinatorial harmonic analysis techniques.
Contribution
It develops novel functional analysis techniques based on Bogoliubov functionals and demonstrates their application to non-equilibrium stochastic dynamics in continuous systems.
Findings
New functional analysis methods using Bogoliubov functionals
Application to non-equilibrium stochastic dynamics
Enhanced understanding of continuous systems' behavior
Abstract
Combinatorial harmonic analysis techniques are used to develop new functional analysis methods based on Bogoliubov functionals. Concrete applications of the methods are presented, namely, the study of a non-equilibrium stochastic dynamics of continuous systems.
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