Ergodicity Coefficient and Ergodic Properties of Inhomogeneous Markov Chains in Ordered Normed Spaces with a Base

摘要

It is well known that transition probability is an important notion in the theory of Markov processes. This probability determines a linear operator, which is called a Markov operator and acts on some L~1 -space. The study of the entire process can be reduced to the study of the limit behavior of the corresponding Markov operator. On the other hand, research in many fields of mathematics and natural sciences necessitates studying inhomogeneous Markov processes. Weak ergodicity is one of the main notions in this context.