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

27 pages

References in corpus (3)

• Hunt's hypothesis (H) and Getoor's conjecture for Lévy Processes
• Hunt's Hypothesis (H) for the Sum of Two Independent Levy Processes
• Two Theorems on Hunt's Hypothesis (H) for Markov Processes