Minorization condition

A minorization condition gives a common component of transition laws: $K^m(x,\cdot )\ge \alpha \nu (\cdot )$ for every $x$ in a specified set, some $m\ge 1$, $\alpha >0$, and a probability measure $\nu$.

A Doeblin condition is a minorization of the whole state space. It implies uniform geometric convergence in total variation distance.