Markov evolutions and hierarchical equations in the continuum. II: multicomponent systems

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

http://hdl.handle.net/10400.2/3791

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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 multicomponent particle systems in the continuum are considered. We derive the corresponding evolution equations for quasi-observables and correlation functions. We also present sufficient conditions that allow us to consider these equations on suitable Banach spaces.

Keywords

Continuous system Markov generator Markov process Stochastic dynamics Configuration spaces Birth-and-death process Hopping particles

URI

http://hdl.handle.net/10400.2/3791

Citation

Finkelshtein, Dmi. L., Kondratiev, Yu. G., Oliveira, Maria João - Markov evolutions and hierarchical equations in the continuum. II: multicomponent systems. "Reports on Mathematical Physics" [Em linha]. ISSN 0034-4877. Vol. 71, nº 1 (2013), p. 123-148