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- W3140452408 abstract "This paper concerns the construction and regularity of a transition (probability) function of a non-homogeneous continuous-time Markov process with given transition rates and a general state space. Motivating from a lot of restriction in applications of a transition function with continuous (in t≥0) and conservative transition rates q(t, x, Λ), we consider the case that q(t,x,Λ) are only required to satisfy a mild measurability (in t≥0) condition, which is a generalization of the continuity condition. Under the measurability condition we construct a transition function with the given transition rates, provide a necessary and sufficient condition for it to be regular, and further obtain some interesting additional results.更多还原" @default.
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- W3140452408 date "2013-01-01" @default.
- W3140452408 modified "2023-09-24" @default.
- W3140452408 title "Construction and Regularity of Transition Functions on Polish Spaces under Measurability Conditions" @default.
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