带马尔可夫切换的Q过程的遍历性
Ergodicity for Q-Processes with Markovian Switching
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摘要: 本文应用Foster-Lyapunov不等式和耦合方法,研究了一类带马尔可夫切换的Q过程的指数遍历性和强遍历性; 同时,也构造了一些关于这类带马尔可夫切换的Q过程的耦合,并证明某些耦合是成功的.Abstract: Exponential ergodicity and strong ergodicity for a form of Q-processes with Markovian switching are considered by virtue of the Foster-Lyapunov inequality and the coupling methods respectively. Meanwhile, some couplings of this form of Q-processes with Markovian switching are constructed, and a coupling is proved to be successful.