Quasi-compactness of Markov kernels on weighted-supremum spaces and geometrical ergodicity

Denis Guibourg, Loïc Hervé, James Ledoux

Let $P$ be a Markov kernel on a measurable space $\X$ and let $V:\X\r[1,+\infty)$. We provide various assumptions, based on drift conditions, under which $P$ is quasi-compact on th…