A 1-D Map whose increments are distributed according to a Normal Distribution. Let and
be values, then their correlation is given by the Brown Function

When , and the fractal process corresponds to 1-D Brownian motion. If , then and the process is called a Persistent Process. If , then and the process is called an Antipersistent Process.

**References**

von Seggern, D. *CRC Standard Curves and Surfaces.* Boca Raton, FL: CRC Press, 1993.

© 1996-9

1999-05-26