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On the Existence of Semimartingales with Continuous Characteristics
David Criens · 2019-02-12 · via math.PR updates on arXiv.org

We prove the existence of quasi-left continuous semimartingales with continuous local semimartingale characteristics which satisfy a Lyapunov-type or a linear growth condition, where latter takes the whole history of the paths into consideration. The proof is based on an approximation and a tightness argument and the martingale problem method.

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