State-discretization of $V$-geometrically ergodic Markov chains and convergence to the stationary distribution

Loic Hervé, James Ledoux

Let $(X_n{)}_{n\in \mathbb{N}}$ be a $V$-geometrically ergodic Markov chain on a measurable space $\mathbb{X}$ with invariant probability distribution $\pi$. In this paper, we propose…