Some Equivalences Of Simple Exclusion Process And Their Appliance

This paper is divided into three chapters: in the first chapter,we mainly recall some properties of simple exclusion process and study the relation between the Dirichlet form and generator,reslovent corresponding to the generator.In the second chapter ,we introduceH₁,H_-1 norms and correspondingH₁,H_-1 space and study the finite exclusion process, the nearest diagonal neighbour system and nearest neighbour process and their corresponding norms.in some sense,they are equivalent.In the third chapter, we introduce the appliance of the H_-1norm,simply recall the history of additive functionals research,also give a conclusion.