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ИСТИНА ЦЭМИ РАН |
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The problem of conservativity of a dynamical semigroup is considered for a class of unbounded Lindblad-type generators, including classical diffusion and Markov jump processes. In this class, necessary and sufficient conditions of conservativity are obtained which generalize the correspondent results of Feller, Skorokhod and Khas'minskii for classical Markov processes.