论文标题
关于马尔可夫过程平衡的次数收敛
On Subexponential Convergence to Equilibrium of Markov Processes
论文作者
论文摘要
在研究朝向强马尔可夫过程平衡的亚指数融合时，我们表现出中间的Lyapunov条件，等于控制了击球时间的某一时刻。在Fort-Roberts（2005），Douc-Fort-guillin（2009）和Harderer（2016）的背景下，这提供了与指数情况下存在的链接（尽管更复杂）与指数情况下存在的链接（尽管更复杂）与指数情况下的链接相似（尽管更复杂）。
Studying the subexponential convergence towards equilibrium of a strong Markov process, we exhibit an intermediate Lyapunov condition equivalent to the control of some moment of a hitting time. This provides a link, similar (although more intricate) to the one existing in the exponential case, between the coupling method and the approach based on the existence of a Lyapunov function for the generator, in the context of the subexponential rates found by Fort-Roberts (2005), Douc-Fort-Guillin (2009) and Hairer (2016).
