On the Nonexplosion and Explosion for Nonhomogeneous Markov Pure Jump Processes

Yi Zhang ()
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Yi Zhang: University of Liverpool

Journal of Theoretical Probability, 2018, vol. 31, issue 3, 1322-1355

Abstract: 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.

Keywords: Dynkin’s formula; Nonhomogeneous Markov pure jump process; Nonexplosion; 60J75; 90C40 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10959-017-0763-3

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