Systematic study of Markov chains and some of the simpler Markov processes, including renewal theory, limit theorems for Markov chains, branching processes, queuing theory, birth and death processes, and Brownian motion. Applications to physical and biological sciences. Prereqs., MATH 4001, 4510 or APPM 3570 or 4560. Undergraduates must have approval of the instructor. Same as APPM 6550. Prerequisites: Restricted to Graduate Students only.