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- Text: Continuous Time Markov Processes (Graduate Studies in Mathematics), by Thomas M. Liggett. Publisher: American Mathematical Society, 2010.

- References: Lecture notes on SDEs; Markov Processes, Characterization and Convergence. By Stewart N. Ethier and Thomas G. Kurtz. Publisher: Wiley. 1986.

- Prerequisite: Math 865 or permission of the instructor.

- Office: 510 Snow Hall; Office hour: Tuesday, Thursday 2:00-3:00 pm.

- Lecture time: Tuesday and Thursday. 11:00am-12:15 pm.

- Exams: Midterm exams will be given in the form of exercises. Final exams will be given in the form of mini-research/reading/presentation project.

- Course coverage: Brownian Motion, Martingales, Stochastic Integrations, Stochastic Differential Equations, Martingale Problems, linear parabolic and elliptic PDEs, Optimal Control Theory, etc…