On the nonexplosion and explosion for nonhomogeneous Markov pure jump processes

Yi Zhang

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arXiv · 1511.05011

On the nonexplosion and explosion for nonhomogeneous Markov pure jump processes

Yi Zhang

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Abstract

In this paper, we obtain new drift-type conditions for nonexplosion and explosion for nonhomogeneous Markov pure jump processes in Borel state spaces. The conditions are sharp; e.g., the one for nonexplosion is necessary if the state space is in addition locally compact and the $Q$-function satisfies weak Feller-type and local boundedness conditions. We comment on the relations of our conditions with the existing ones in the literature, and demonstrate some possible applications.

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Yi Zhang. 2016-11-16. On the nonexplosion and explosion for nonhomogeneous Markov pure jump processes. https://arxiv.org/abs/1511.05011

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