| Call Number | 15375 | 
|---|---|
| Day & Time Location | TR 2:40pm-3:55pm 332 Uris Hall | 
| Points | 3 | 
| Grading Mode | Standard | 
| Approvals Required | None | 
| Instructor | Ioannis Karatzas | 
| Type | LECTURE | 
| Method of Instruction | In-Person | 
| Course Description | This course will cover advance topics in probability, including: the theory of martingales in discrete and in continuous time; Brownian motion and its properties, stochastic integration, ordinary and partial stochastic differential equations; Applications to optimal filtering, stopping, control, and finance; Continuous-time Markov chains, systems of interacting particles, relative entropy dissipation, notions of information theory; Electrical networks, random walks on graphs and groups, percolation. | 
| Web Site | Vergil | 
| Department | Mathematics | 
| Enrollment | 25 students (49 max) as of 7:06PM Thursday, October 30, 2025 | 
| Subject | Mathematics | 
| Number | GU4156 | 
| Section | 001 | 
| Division | Interfaculty | 
| Section key | 20251MATH4156W001 |