Probability: Limit Theorems II

Course:MATH-GA 2912.001 Probability: Limit Theorems II, Spring 2015
Time: Wednesdays 9:00 - 10:50 A.M.
Room: Courant Institute / Warren Weaver Hall 202
Instructor: Professor Yuri Bakhtin, contact info
Office hours: Tuesday 2-3pm and Wednesday 11am-noon
Course description: available here
Text: There will be no official textbook. Some very useful books are: Stochastic Processes by Varadhan (Courant Lecture Series in Mathematics, volume 16), Theory of Probability and Random Processes by Koralov and Sinai, Brownian Motion and Stochastic Calculus by Karatzas and Shreve, Continuous Martingales and Brownian Motion by Revuz and Yor, Markov Processes: Characterization and Convergence by Ethier and Kurtz, Convergence of Probability Measures by Billingsley.
Problem sets: Will be available on this page, to be submitted for grading approximately every 2-3 weeks, must be submitted before the end of class on the due date. 40% of the final grade is based on the homework.
Final: There will be a take-home final exam worth 60% of the final grade
Prerequisite: Probability: Limit Theorems I

Homework assignments (PDF) (LaTeX)

Link to Brownian Motion and Stochastic Calculus by Karatzas and Shreve (available through NYU)

Link to Theory of Probability and Random Processes by Koralov and Sinai (available through NYU)

Link to Continuous Martingales and Brownian Motion by Revuz and Yor (available through NYU)

Link to Probability by Shiryaev (available through NYU)