ABSTRACT
The properties of zero or level crossings of continuous stochastic processes are of great importance to the topic of extremal statistics, which has numerous applications in biology, engineering, finance and the physical sciences. The zeros and level crossings provide one mechanism by which a discrete random process is formed from an underlying continuous variation. However the development that is required to treat these is different than what we have seen until now because they are not defined intrinsically but rather are a derived property of the continuous process. Nevertheless, we shall see that the models that we have developed can serve as useful tools with which to describe and explore the problem of crossings.
