Hunt's Hypothesis (H) for Markov Processes: Survey and Beyond (1908.06825v1)

Published 19 Aug 2019 in math.PR

Abstract: The goal of this paper is threefold. First, we survey the existing results on Hunt's hypothesis (H) for Markov processes and Getoor's conjecture for L\'{e}vy processes. Second, we investigate (H) for multidimensional L\'{e}vy processes from the viewpoints of projections and energy, respectively. Third, we present a few open questions for further study.

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