Markov evolutions and hierarchical equations in the continuum I. One-component systems

General birth-and-death as well as hopping stochastic dynamics of infinite particle systems in the continuum are considered. We derive corresponding evolution equations for correlation functions and generating functionals. General considerations are illustrated in a number of concrete examples of Ma...

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Bibliographic Details
Published inarXiv.org
Main Authors Finkelshtein, Dmitri L, Kondratiev, Yuri G, Maria Joao Oliveira
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 04.07.2007
Subjects
Functionals
Mathematical analysis
Mathematics - Mathematical Physics
Physics - Mathematical Physics
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Summary:General birth-and-death as well as hopping stochastic dynamics of infinite particle systems in the continuum are considered. We derive corresponding evolution equations for correlation functions and generating functionals. General considerations are illustrated in a number of concrete examples of Markov evolutions appearing in applications.
ISSN:2331-8422
DOI:10.48550/arxiv.0707.0619