The Characterization Of Feller Brownian Motion

In this paper we present Feller-Brownian motion. Feller-Brownian motion is not only a special diffusion process but also a particular example of excursion theory, and it is defined by excursion theory. First, we present the relationship of two loal time for standard Brow-nian motion. Second, we describe the excursion structure of Feller-Brownian motion and construct Brownian motion which is based on the Feller-Brownian motion .Furthermore, we present the result of Feller-Brownian motion which is similar to the Tanaka formula of Brownian motion.