Math 180C
Introduction to Stochastic Processes, II

Fall 2022

The introduction to stochastic processes begun in Math 180B continues in Math 180C with the study of Markov chains in continuous time and renewal processes. These topics generalize the notion of Poisson process in two different ways. We will then proceed to an introduction to the Brownian motion, one of the two building blocks of the subject of stochastic processes (along with the Poisson Process). Time permitting, we will take up some topics in the theory of queues (waiting lines) as an application of the preceding material.

The required text for Math 180C is An Introduction to Stochastic Modeling (Fourth Edition) by M. A. Pinsky and S. Karlin. I plan to discuss most of the material contained in chapters 6, 7, and 8 of the text, with selected topics from chapter 9.

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September 21, 2022