The Convergence Of The Feller And The Exitance Of Stationary Distribution

This paper mainly discusses the limit properties and the existence of stationary distribution of Feller chains in measurable space,which is local tight and can be divided.First,It introduces the related concepts and properties about topology,measure theory, functional analysis and Markov chains.Then,It proofs the theorems about the convergence of feller chains and the exitance of stationary distribution for detailed. Among them,the general structure and the proof of the e chains which bounded in probability on average is new written by the author.