Graduate student reading seminar
Tuesdays at 2:30pm, VV 903 on 9/9 and B305 for the rest of the semester
Preliminary schedule - 2014 Spring
2/04, 2/11: Scott
2/18: Phil-- Examples of structure results in probability theory.
2/25, 3/4: Beth-- Derivative estimation for discrete time Markov chains
3/11, 3/25: Chris J Some classical results on stationary distributions of Markov processes
4/1, 4/8: Chris N
4/15, 4/22: Yu Sun
4/29. 5/6: Diane
9/24, 10/1: Chris A light introduction to metastability
10/8, Dae Han Majoring multiplicative cascades for directed polymers in random media
10/15, 10/22: no reading seminar
10/29, 11/5: Elnur Limit fluctuations of last passage times
11/12: Yun Helffer-Sj?ostrand representation and Brascamp-Lieb inequality for stochastic interface models
11/19, 11/26: Yu Sun
12/3, 12/10: Jason
Young diagrams, RSK correspondence, corner growth models, distribution of last passage times.
A brief introduction to enlargement of filtration and the Dufresne identity Notes
3/13: Dae Han
An introduction to random polymers
3/20: Dae Han
Directed polymers in a random environment: path localization and strong disorder
Scale and Speed for honest 1 dimensional diffusions
Rogers & Williams - Diffusions, Markov Processes and Martingales
Ito & McKean - Diffusion Processes and their Sample Paths
Breiman - Probability
Introduction to stochastic interface models
Dynamics and Gaussian equilibrium sytems
5/1: This reading seminar will be shifted because of a probability seminar.
5/8: Greg, Maso
The Bethe ansatz vs. The Replica Trick. This lecture is an overview of the two approaches. See  for a nice overview.
5/15: Greg, Maso
Rigorous use of the replica trick.