
- Sponsor
- Department of Mathematics
- Speaker
- Taegu Kang
- Contact
- Rui Yu
- ruiyu6@illinois.edu
- Originating Calendar
- Mathematics Seminar Series: Probability
Title: Coupling and Applications to Random Walks
Abstract: We introduce the coupling method, focusing on total variation distance, the coupling inequality, and maximal coupling. Applications include Poisson approximation and the constancy of bounded harmonic functions on Z^d. We conclude with an overview of the key coupling idea in Benjamini and Wilson’s proof of transience for two-dimensional excited random walk.