|
- 2014
一类Markov-Feller算子不变测度的存在性与唯一性
|
Abstract:
讨论了完备可分距离空间上一类 Markov-Feller 算子的遍历性质,给出了存在不变测度的充分必要条件以及唯一不变测度的充分条件,研究了此类算子轨道的稠密性质。
The ergodic property of the Markov-Feller operators on complete separable spaces is discussed. The exist-ence and uniqueness of invariant probability measures for the Markov-Feller operators with equicontinuous dual op-erators is given. In addition,the dense trajectories for the operators is studied