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 ...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.展开更多
In this paper, we present some multi-dimensional central limit theorems and laws of large numbers under sublinear expectations, which extend some previous results.
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)。
文摘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.
基金Supported by NNSFC(Grant No.11371191)Jiangsu Province Basic Research Program(Natural Science Foundation)(Grant No.BK2012720)
文摘In this paper, we present some multi-dimensional central limit theorems and laws of large numbers under sublinear expectations, which extend some previous results.
