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  • Semigroup approach to birth...
    Semigroup approach to birth-and-death stochastic dynamics in continuum
    Finkelshtein, Dmitri; Kondratiev, Yuri; Kutoviy, Oleksandr

    Journal of functional analysis, 02/2012, Letnik: 262, Številka: 3
    Journal Article

    We describe a general approach to the construction of a state evolution corresponding to the Markov generator of a spatial birth-and-death dynamics in R d . We present conditions on the birth-and-death intensities which are sufficient for the existence of an evolution as a strongly continuous semigroup in a proper Banach space of correlation functions satisfying the Ruelle bound. The convergence of a Vlasov-type scaling for the corresponding stochastic dynamics is considered.

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