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

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\'evy processes. Second, we investigate (H) for multidimensional L\'evy processes from the viewpoints of projections and energy, respectively. Third, we present a few open questions for further study.

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