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

作　　者：Ze Chun HU Wei SUN 

机构地区：[1]College of Mathematics,Sichuan University,Chengdu 610065,P.R.China [2]Department of Mathematics and Statistics,Concordia University,Montreal,H3G 1M8,Canada

出　　处：《Acta Mathematica Sinica,English Series》2021年第3期491-508,共18页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant Nos.11771309 and 11871184);Natural Sciences and Engineering Research Council of Canada(Grant No.4394-2018)。

摘　　要：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 viewpoint of projections. Third, we present a few open questions for further study.

关 键 词：Hunt’s hypothesis(H) Getoor’s conjecture Markov process Lévy process 

分 类 号：O211.62[理学—概率论与数理统计]