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

Finkelshtein, Dmitri L.; Kondratiev, Yuri G.; Oliveira, Maria João

http://hdl.handle.net/10400.2/1695

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Authors

Finkelshtein, Dmitri L.

Kondratiev, Yuri G.

Oliveira, Maria João

Abstract(s)

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.

Keywords

Continuous system Continuous system

URI

http://hdl.handle.net/10400.2/1695

Citation

Finkelshtein, Dmitri L.; Kondratiev, Yuri G.; Oliveira, Maria João - Markov evolutions and hierarchical equations in the continuum. I: one-component systems. "Journal of Evolution Equations" [Em linha]. ISSN 1424-3199 (Print) 1424-3202 (Online). Vol. 9, nº 2 (2009), p. 197-233