Applications of Invariant Measures

Abstract

Some applications of absolutely continuous invariant measures are illustrated in this last chapter. First we briefly give an application to the estimation of the speed of decay of correlations. Then we present Li-Yorke’s work on the application of stationary densities of small variation to random number generation. Two modern applications in the last decade are sketched in the final two sections. One is about the transfer operator in molecular conformation dynamics and computational drug design, and the other is the direct sequence code division multiple access in the third generation wireless communications.