Fields Academy Shared Graduate Course: Stochastic Differential Equations
Description
Registration Deadline: TBA
Instructor: Professor Jeremy Quastel, University of Toronto
Course Date: TBA
Mid-Semester Break: TBA
Lecture Time: TBA
Office Hours: TBA
Registration Fee:
- Students from our Principal Sponsoring & Affiliate Universities: Free
- Other Students: CAD$500
Capacity Limit: TBA
Format: TBA
Course Description
This course covers topics in Brownian motion, martingales & stopping times, white noise, stochastic integral, stochastic ode's, Markov processes, Feynman-Kac formula, connection with PDE, discrete approximations, boundary conditions & local times, Cameron-Martin-Girsanov formula, Wiener chaos, stochastic partial differential equations.
Prerequisite: Graduate courses in real analysis and probability. Undergraduate courses in ODE, PDE.
Homework: Around eight problem sets
Exam: Take home final exam