A General Theory Approach to the Construction of Markov Processes

Abstract

This can be considered as the third in a series of papers exploiting the commutativity of projections for Markov processes as begun in [1] and continued in [2]. We use the projections here to address the problem of finding necessary and sufficient conditions for the existence of “very regular” Markov processes, which, among other things, serve to provide further insight into the familiar regularity assumptions of Markov process theory.

This research was done while the author was employed by the University of Southern California.