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

Ze-Chun Hu; Wei Sun

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

Probability 2019-08-20 v1

Authors: Ze-Chun Hu , Wei Sun

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.

Keywords

markov processes

Cite

@article{arxiv.1908.06825,
  title  = {Hunt's Hypothesis (H) for Markov Processes: Survey and Beyond},
  author = {Ze-Chun Hu and Wei Sun},
  journal= {arXiv preprint arXiv:1908.06825},
  year   = {2019}
}