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

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Resumo(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.

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

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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

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